{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "_Ip8kp4TfBLZ"
   },
   "outputs": [],
   "source": [
    "# Copyright (c) Facebook, Inc. and its affiliates. All rights reserved."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "kuXHJv44fBLe"
   },
   "source": [
    "# Render a textured mesh\n",
    "\n",
    "This tutorial shows how to:\n",
    "- load a mesh and textures from an `.obj` file. \n",
    "- set up a renderer \n",
    "- render the mesh \n",
    "- vary the rendering settings such as lighting and camera position\n",
    "- use the batching features of the pytorch3d API to render the mesh from different viewpoints"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Bnj3THhzfBLf"
   },
   "source": [
    "## 0. Install and Import modules"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "okLalbR_g7NS"
   },
   "source": [
    "If `torch`, `torchvision` and `pytorch3d` are not installed, run the following cell:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 717
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "musUWTglgxSB",
    "outputId": "16d1a1b2-3f7f-43ed-ca28-a4d236cc0572"
   },
   "outputs": [],
   "source": [
    "!pip install torch torchvision\n",
    "!pip install 'git+https://github.com/facebookresearch/pytorch3d.git@stable'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "nX99zdoffBLg"
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "from skimage.io import imread\n",
    "\n",
    "# Util function for loading meshes\n",
    "from pytorch3d.io import load_objs_as_meshes\n",
    "\n",
    "# Data structures and functions for rendering\n",
    "from pytorch3d.structures import Meshes, Textures\n",
    "from pytorch3d.renderer import (\n",
    "    look_at_view_transform,\n",
    "    OpenGLPerspectiveCameras, \n",
    "    PointLights, \n",
    "    DirectionalLights, \n",
    "    Materials, \n",
    "    RasterizationSettings, \n",
    "    MeshRenderer, \n",
    "    MeshRasterizer,  \n",
    "    TexturedSoftPhongShader\n",
    ")\n",
    "\n",
    "# add path for demo utils functions \n",
    "import sys\n",
    "import os\n",
    "sys.path.append(os.path.abspath(''))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Lxmehq6Zhrzv"
   },
   "source": [
    "If using **Google Colab**, fetch the utils file for plotting image grids:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 204
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "HZozr3Pmho-5",
    "outputId": "be5eb60d-5f65-4db1-cca0-44ee68c8f5fd"
   },
   "outputs": [],
   "source": [
    "!wget https://raw.githubusercontent.com/facebookresearch/pytorch3d/master/docs/tutorials/utils/plot_image_grid.py\n",
    "from plot_image_grid import image_grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "g4B62MzYiJUM"
   },
   "source": [
    "OR if running **locally** uncomment and run the following cell:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "paJ4Im8ahl7O"
   },
   "outputs": [],
   "source": [
    "# from utils import image_grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "collapsed": true,
    "id": "5jGq772XfBLk"
   },
   "source": [
    "### 1. Load a mesh and texture file\n",
    "\n",
    "Load an `.obj` file and it's associated `.mtl` file and create a **Textures** and **Meshes** object. \n",
    "\n",
    "**Meshes** is a unique datastructure provided in PyTorch3D for working with batches of meshes of different sizes. \n",
    "\n",
    "**Textures** is an auxillary datastructure for storing texture information about meshes. \n",
    "\n",
    "**Meshes** has several class methods which are used throughout the rendering pipeline."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "a8eU4zo5jd_H"
   },
   "source": [
    "If running this notebook using **Google Colab**, run the following cell to fetch the mesh obj and texture files and save it at the path `data/cow_mesh`:\n",
    "If running locally, the data is already available at the correct path. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 578
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "tTm0cVuOjb1W",
    "outputId": "6cd7e2ec-65e1-4dcc-99e8-c347bc504f0a"
   },
   "outputs": [],
   "source": [
    "!mkdir -p data/cow_mesh\n",
    "!wget -P data/cow_mesh https://dl.fbaipublicfiles.com/pytorch3d/data/cow_mesh/cow.obj\n",
    "!wget -P data/cow_mesh https://dl.fbaipublicfiles.com/pytorch3d/data/cow_mesh/cow.mtl\n",
    "!wget -P data/cow_mesh https://dl.fbaipublicfiles.com/pytorch3d/data/cow_mesh/cow_texture.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "gi5Kd0GafBLl"
   },
   "outputs": [],
   "source": [
    "# Setup\n",
    "device = torch.device(\"cuda:0\")\n",
    "torch.cuda.set_device(device)\n",
    "\n",
    "# Set paths\n",
    "DATA_DIR = \"./data\"\n",
    "obj_filename = os.path.join(DATA_DIR, \"cow_mesh/cow.obj\")\n",
    "\n",
    "# Load obj file\n",
    "mesh = load_objs_as_meshes([obj_filename], device=device)\n",
    "texture_image=mesh.textures.maps_padded()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "5APAQs6-fBLp"
   },
   "source": [
    "#### Let's visualize the texture map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 428
    },
    "colab_type": "code",
    "id": "YipUhrIHfBLq",
    "outputId": "48987b1d-5cc1-4c2a-cb3c-713d64f6a38d"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "140631044165712",
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,7))\n",
    "plt.imshow(texture_image.squeeze().cpu().numpy())\n",
    "plt.grid(\"off\");\n",
    "plt.axis('off');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "GcnG6XJ6fBLu"
   },
   "source": [
    "## 2. Create a renderer\n",
    "\n",
    "A renderer in PyTorch3D is composed of a **rasterizer** and a **shader** which each have a number of subcomponents such as a **camera** (orthographic/perspective). Here we initialize some of these components and use default values for the rest.\n",
    "\n",
    "In this example we will first create a **renderer** which uses a **perspective camera**, a **point light** and applies **phong shading**. Then we learn how to vary different components using the modular API.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "dX466mWnfBLv"
   },
   "outputs": [],
   "source": [
    "# Initialize an OpenGL perspective camera.\n",
    "# With world coordinates +Y up, +X left and +Z in, the front of the cow is facing the -Z direction. \n",
    "# So we move the camera by 180 in the azimuth direction so it is facing the front of the cow. \n",
    "R, T = look_at_view_transform(2.7, 0, 180) \n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Define the settings for rasterization and shading. Here we set the output image to be of size\n",
    "# 512x512. As we are rendering images for visualization purposes only we will set faces_per_pixel=1\n",
    "# and blur_radius=0.0. We also set bin_size and max_faces_per_bin to None which ensure that \n",
    "# the faster coarse-to-fine rasterization method is used. Refer to rasterize_meshes.py for \n",
    "# explanations of these parameters. Refer to docs/notes/renderer.md for an explanation of \n",
    "# the difference between naive and coarse-to-fine rasterization. \n",
    "raster_settings = RasterizationSettings(\n",
    "    image_size=512, \n",
    "    blur_radius=0.0, \n",
    "    faces_per_pixel=1, \n",
    ")\n",
    "\n",
    "# Place a point light in front of the object. As mentioned above, the front of the cow is facing the \n",
    "# -z direction. \n",
    "lights = PointLights(device=device, location=[[0.0, 0.0, -3.0]])\n",
    "\n",
    "# Create a phong renderer by composing a rasterizer and a shader. The textured phong shader will \n",
    "# interpolate the texture uv coordinates for each vertex, sample from a texture image and \n",
    "# apply the Phong lighting model\n",
    "renderer = MeshRenderer(\n",
    "    rasterizer=MeshRasterizer(\n",
    "        cameras=cameras, \n",
    "        raster_settings=raster_settings\n",
    "    ),\n",
    "    shader=TexturedSoftPhongShader(\n",
    "        device=device, \n",
    "        cameras=cameras,\n",
    "        lights=lights\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "KyOY5qXvfBLz"
   },
   "source": [
    "## 3. Render the mesh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "8VkRA4qJfBL0"
   },
   "source": [
    "The light is in front of the object so it is bright and the image has specular highlights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 592
    },
    "colab_type": "code",
    "id": "gBLZH8iUfBL1",
    "outputId": "cc3cd3f0-189e-4497-ce47-e64b4da542e8"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "140630998081360",
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = renderer(mesh)\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\");\n",
    "plt.axis(\"off\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "k161XF3sfBL5"
   },
   "source": [
    "## 4. Move the light behind the object and re-render\n",
    "\n",
    "We can pass arbirary keyword arguments to the `rasterizer`/`shader` via the call to the `renderer` so the renderer does not need to be reinitialized if any of the settings change/\n",
    "\n",
    "In this case, we can simply update the location of the lights and pass them into the call to the renderer. \n",
    "\n",
    "The image is now dark as there is only ambient lighting, and there are no specular highlights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "BdWkkeibfBL6"
   },
   "outputs": [],
   "source": [
    "# Now move the light so it is on the +Z axis which will be behind the cow. \n",
    "lights.location = torch.tensor([0.0, 0.0, +1.0], device=device)[None]\n",
    "images = renderer(mesh, lights=lights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 592
    },
    "colab_type": "code",
    "id": "UmV3j1YffBL9",
    "outputId": "2e8edca0-5bd8-4a2f-a160-83c4b0520123"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5t5Q/tQrjy0bo1gJjqRBFuKgLGUyBvVWY20ZxjK994+m8DL6JXq+Hra0t47nXX38dk8kEt/b3gdnMnG5t8p5IzbqQ36O9zksYhhjnrh0zV69eRWRI2d7a2sLW1hZGoxGef/E7ODg8KgdGZ4HC2Xs1CFglN2rYLF222RmCc6V+XhV8ukit8fNWxSldReQcQ9FCSKPEfkdjq+BwHMuNO7YNBV2Tk4W1OBEJaaG2/QM898ILjmuB2WwGz1CqX0qJb37zm5BS4tb+AWbTqSH7RxSzolRrldGqoVo8itYXEctK0fLCCy/gliE2Z21tDWtrawjDENdv3MCVq1fL4xbGVFWkxV1XRzM6/81oosRwz81ZPpOMkLMARQs5x1TErtjcHQ26rkT7BG0dzxIKU1iDRepf8Dy8ef06bu7ZA3CR1jp5+eWXS8dfe+01PP300wCA6XTqLEqXzKNO7IfFAgWgF/iYOixCAPDqq6/iueeeK5X3f+mll/DSSy9hPB4n719+BbDtmVRIOc4ONPrhG+efN6/6mVcK0qpOllI9hJwJKFrIOUa4M3JKi5wDVUDYapqYrtFdKVVzUa/RrR+ZtcXznLEsKk888QSuXJm3DcMQn/vc5/IYEs/zcDgez108pnla71ULMFWvz6xSQmA8niCK7HsNIRVPX/jCF/DGG2/kx8bjMZ588kk8+eST+bGrV6+mokV3R6lxRHoQbOEHMbfIZJarLIi2dOvK8TqJYaVHY6jvUnAlOWJlCDmnsLgcOd8YC8PpgZx1Yg4MfeZCRu9XKAXXRPEafSqucYznEkvLzb296jmnYuAzn/kMPvShD2FtbQ2PPvoovvGNb+Tn+/1+cQDnozBMuiSwFOtWahE5ODjAbDarnOvrr7+OT3/60/jIRz6C4XCIL33pS3hBc4Edjcdpv2qgsvYzdMaTqO1Ul5ZBrJmq3hqRc/eQGphrRXdhqbFEcv5zJuQcQtFCzjnqgmKMmq3fjX6p0F8YFsRKcaI0sMa8aOeFwOHhYb1pS4lvfetbeO211yClxMHBQeH8cDiA5/mahcUkTkwLsSin/xpid5rEHr/44ov4nd/5HQyHQ+zt7ZXSpMeTKcZHYww9wzOvfH5SCZLVhIaJgt4tBtrKzDqTvYaEgICMZVKPRsaAEGkXWgXdwv5Ohlgi15wIOePQPUTOJbuf/ET6ShS+FT9Q1whUSN0eMmsrZb5IWV0+qvXfFueQX2oIdi1QtiBMJpMki6YB+/v7JcECAJsbG+j3e9pRUX40NtUhyvMruNGkxNbmBno9fQw7k8kEN2/eNNZ1mUwm2D/Yt6cUQ3cZqfdiCxzWz83nL9OvKI4RxTHCKMIsDBGGEcbTGQ7HYxyNJzg4GuPW4RH2j45w6/AQB+MJjsYTTGYzRHE0/zejzslGGgfFDCJyHqGlhZxLdn/9N+d/9K0fbC0LsUQqUpDHYszCMDmVLqRe+kk/8H34vl+06AuLUFIbFeJjFPeGyaKj3cRsMkGYzmcZBIALW1sY9HqKAJMON5HJKmSacHoyDard2txELwjQTGaZCcMI08kEKBSjyzYwVN10wiBMLBR2a07lqZSp5krESvbvIHs9C0OEUYQoihHFEeI4eQ5xHOeVf33Pgx/4GA0G6AU++r3kz3G/14PntPolx7ihIjmPULQQYggdsBGnn6hnsxCzKMJ0OsMsDDGdhblgkTJxAQhPoOf72NpYx/poCE9ohk2J+aKuu4sUVw/gEisonZBR1NjSYuzR87C5sW5Miy7chBrbUXCx6BM2R6wOBoPE3XNrf+k5jydjyChxvSCO54KvIAgb+layOBQIxFJCxhKxjOF5HsIowngywzSNyZnOErGSWVziKIYEEMtYMbwlfSU/XoGb3gH6vQCb68ku1dsb6xj2exDw6AYiRIOihZxbdj/1G8meQ8aAyrlKkFIiTj9JH04mOByPcXg0wSwMk4UploVU3DxGQybZNwfjCW7f2cb2xjqQW2G0hXR+ZTZsURA0CIDt+X6eArwMw8EAly/frnzqNyk7TaDocR7qPUrt3rLjgY9LF3dw5eobWJbpdIae76fj6AGstodYpQjn85YSiFMBE0UxxpMpDscTTKaJaMksLGGYuHwyq4x9TEDEEaIoytsFvofA99ELRPnfZnoftLKQ8wpFCznfSCUIUnUfSJHHqoRhhP3UcrF3cIiDozHCMEw+dVviVrLDcRQhOhrjShzni//2xnpxy4AcQ6VUfR01ZsGKwrrb7/WwvraGw6PlrC3ra2vYvriTBn/WNEWp4qBUkM7yxvNwx+Xb8Y1nnl1qvkitNuujUToXKIHArgBWU7zKPHZkniItcyEWRzFiKTGZzTCZznCUFscLoxhSxpCxLP2obEgJRDLGOK1Vc+vgEIN+H74/TASu/kzrbpxJyBmEgbjkXLP76+on1mIcgQQwmc6wd3CAazf3cO3mHm4dHGIynSKK45q7HyeftA/HE1x98yauvnkT01k4d5PoSTnGDpTvQvlST4q53vKGA2xsrDV4CmYuXdzB1uZms0XSaM3IFn9ZOgQAiCXedvfdi09UYX00wvrmhrKRY7bYy7mbp87t5BYi1dIl4Ht+XsplFoaYTkNMwzCJXYlixHGMuIFgUcn6OJpMMZnO5o9Le6a7v/6bC/ROyNmAooUQSxbPLAyxt3+Aazf2EpfQeJwH3C7CwdEYB0dj3NxXsnQKsSDKfAoptJYOS+6l5O348Aij4WjheSKNtbjj8u0YDfraGX05rqsApDmTCACiCHfe8ZZEIC3J1tYmxqWfkRZpLbRztiQxVwZSGnQ7S11BiVipL2RdRFGM6SxELN0F9wg5j1C0EEIIIaQTULSQc0/RRZQg06DOm/sHOJpMc9P9MmSfxm/s6VkyWr0QY+Ct6t6wuDjSY700lXYZNjc28LZ73wbfnJddGtM6mcJNaRlTeVOJ/vo63n7/vUvNGWm6sIj1n5MjANcV6Gy5LDMYRdE8gLZGRZ/aSCnhCSAwZG0xAJecdyhaCFFRVp9YSkRRVNqkb1mOphMtTkQUvBfai+J7dXdlvRBeetjv93HbpYtLzfHee+7G5cuXy+PrCDUuR7unvGCbJUNKJY7xg+/9vor06mq2tjbRD7T8AmMxP6XejK449Oq/hRo1iessyaiWeQp8LiZbwPM8DPr9vJ4LIWQORQsh6idYUdQHq8jTyDJPSpisK66P8EI9p6b3xrj37rsR6It3TdZGI3zvex7A2nCgLdoG1CwbQ3xNec6WhTiOcdfdd+HuO9+60JwzHnjH2yF8xcqUxwrpFYW1+JpCEpcwt0uFWCYmYrXQXIuWlsD3sTYalANwaWUhhKKFkIziuiXQC3rwl/zkb0IqlXRzYQLDqpe7iuoIHIUoxmhjHTvb2wvN77633YO77rkbIktzrlJvUptMrRVcyySSEkGvhx956IcWmjMAXNjewsVLF/NKu8XgX0taM2C3kpSyd6QiaJP6PWEYtSdXUiva1sYa+vm2BsnD9Gh1IQSgaCFkzq9+6jfQC4J8EeoFPoaDwUrG2sv3+TG4hrKYlaxCXUEUaIpADzlJ2drYwM6F5qJlc2MdP/gD78WGft+qW0XPbDJ5soxrrMF9pLpswhAPPPAu3HtP8/RnTwi89Y63oD8YKPOrWOjz5y7MFqBSjZzkgOd5ST3bfO+hxtM10g8C9IMAO1ubimtIYDgY4Ff+4f/UziCEdByKFkIUfvnXPoW1tDiZ73nY3lhDsGRQq4nXr92wn9TL4KtiRlUExliNhOFwiAd/8PsR+PXnHgQB3vu978E9b7vH6KlKvou5mLJZGKzxIaLYpiRuJITn4T/8iY9gbTSsPW8A6PX7+J777psXlivNyWXRsllasuNKLRylk0guVo/Fxs7WBna2NjBM08xFGhD9yN//H1ochZBuQ9FCiMbf/dVfw/bmZmqqX8fW2vKF2nQmafVToEmNEEvMiF53BInV4s6778Y9d99Vaz5CCHzPfffih97/Pox6gaXyrh4obHEbWeNDoAkAw4VRhDvufCt+/EMfbGTluv9t9+D7vu89pZp7hb6FWeDNxZPJDacqq2K9F+moiNyUYb+PyzsXcHnnAoQQGPT7uLizg0/8vd1W+ifkrEDRQoiB//qXfxW3XdyB73m4562XsT4aYr3hp/96yPliqmKKY6nFPIp4a30Nf+WHP1B9hRC495678e9/6EdxcXvbUe7ePlyCas1wRA8bT8mC4Hr/+9+HH/nhD1QKl/vvfRvuv/dt+NCH/iqG/f58XKGlhZsEXsGNZPBplQSXKFhapJS1H5ML3/dw3113IOgFCHpBKlgu4L/85C+30DshZwtR8UlhFckThHSG//0f/Y9449p1TCaJZeSZF1/CeDKtvK4OD777nfXFgQlTCq9Or4fPf/4LePQLj2Pv1n4pfdvzPLzngXfhIz/+Y9jZ3kqDb9Ug1Oy9UKwRmptHr3brmi9gt3jk9WqS/iZRhK985Sn8u89/ATdu7hVaCiFwz1134sM//mMAgLfdfRc8fZuAOs/Wlf3k6GM2C/HqG9fw5l75mTbBEwLvvPdubKyN0O8nbqFLOzv4+V96eOE+CTkjmO2xFC2EuPntf/w/441r1wEA48kE3/j2i/kGecvw4Hvemb6S2g7Idam3MocAXnnlu/jms9/CG9euI44iAMClSxfxfe9+AHfddWeSnRLHdvGRD1UxpnE3ZYPQKZVu0dsk/UQA3rz+Jr7y1Nfwreeex3gyxfraGt71rrfjB9/7Xmxtb6U3GTYTUFUYdUyxSN5Lr13Bm3u3kjotC+B5Ht5+z524uL2Ffr+P7a1kG4Of/68oWAihaCGkBX7z13YxmU7w9HPfwd7+wVIxDU5Li3Fhx/xXMhc5DkGgvvZ9II4xm83y9Fk/c6foi67LCuLCJGyMIsbVn+G45wGeh2g2QxyGCIIAot8Homg+98rp1RF4TfxiqWi5uZho6QUB3nnv3djZ3kS/38cv/be/0rgPQs44FC2EtMX/8g//e7z06ut4/pVX84DMpoGZiaUlWyiLn+JLsReu3ZNt1xWaOiwQzdbqalTLSW0BpDwHadjUsFDxb4E/S3mROZeVyGRNss/1ldev4uqbN2v9zJMqusnX2miI977jfqyNRvg7j/y95vdCyPmAooWQNvln/+s/wmQ6xZ8//mXMZmFJvFSJmAff8077mogKIVHlvmgbg7ZqfUiXe0fXEXDMw6o51JtQ4nSMsTZqfA2M7rtnX3wZ+4dHxlvJ6qyoYsX3PVy+uIP3vuvtGA4G+M/+9i81fUKEnCcoWghZBf/3//G/4VsvvoSnv/1CUtpdJnvSuATMg+95hyGgtU7cSB1F06BpZoGptIg0iWytOb/SUMVAXPtcFhBLpfZVz7he509841lAEynQxIoQAmvDAd7/vQ/gtksX8Td+4W83mDgh5xaKFkJWyf/7z38Lv/+n/x8mk2lBtGS7O2e/a1JKvO/dby9+tK9aJ53uHeVck9iO/LrMJWMRBksLBMNBNWtHwjJ/0wRcbjTlte5egymFeQnSZ/flp7+VCxNk1XIVsdLv9fCWSzt43/c+gP/4F/+L9sYn5OxD0ULIcfGf/+IvYO/gIN8JOBMvABDHMb7/nfdrV5izZ0o0MmQY1MNS4kcWvi2FMLzJ9zqqsgDVJO+jYUZRgzG/+uzz8Dwv353a8zz0ez3sbG3g8qUd/Hd//x8sOHlCzj3G30IWlyOEEEJIJ6ClhZAV8/M/+zdxNJkiSuujxHGM99x/zwI9aa4RaGnQtWI+pP23Ov9bIM3HJMp/EvS/H8YMHdUNlJ43VZstHFOyhVxYz7cVIew2bT39wsvo93q4bSfZnPKO2y9hZ2uTtVYIWR66hwg5Sf7BryRl2WfTSTn+ouCaqeHOcK7JavqwckwCQDw/JuP5hoDZaym147L4Ou/OIHAK6Kk+6imRnlcycrJj+XdvvvuySN9Dea+2hUEsCeX+8w0etZTqpm6j0jNOxrzj8mX8rf/m7y7YDyHEAkULIaeB3UfST+FqxoyJOhkvxt9fRXzEcSpCstdR8jq7NjuuChR1Z2NdnEhFZC2K0RqjWVZUYaIKl/y7n35PPdyemL9XBU8mjqwGmYZisXBt8vPb/dRvNnwAhJAaGH8Zg+OfB4AxSAgAACAASURBVCGkFqVfWUNhNdVSkomSKAJkmH7XhItuMYEuQGqIkSZ6xVqHxtJJ6bBuPUHZ4oK0am4mWDwP8HzAC5Lvwp+f17sWhv71AF6bmFHrtxBCjgWKFkJOCqPFQVnU1YVSd9HkAiUE4giIs+9R2Xoy77SaRUNBbOJk2TXdJqj024lQtNZkFplcvASAn4oYz5+LGxVhsvbAnMUk50YcQsjxQfcQIcfE7idTt1Bp8bPVSckESjQXJlGYHgvngiWzojQVKE3Ry6Xo96K2WbDGXGmcpVHcTJ5BxGRCBii6m2yC0jLX3U/9RlsTJoQk0D1EyMliWMnzbBo9yFUmgiScAeEUiKZz8QIcj0iBJiCEwcJgExiu9b5KlCxtndEL1KUBuVFqmRLT1BKTWl389M+g35t/ZVaYqs0eC9lbhJBVQ9FCyHEhTP6F/GQaBJtaVMIZEI6T71E4j0c59jkv+b5OnzYWrcjrbJsFGyPxKUUCCDMB4ie7Yft9oDdIxUuQChyl49I+RPQREXJc0D1EyDGQZwwVUFblOAaiGRBOgNkkeR1FSYpyFa26U2r0t8h4S1W2tVyr/3VaROCUSv9nrqQACFLxEvRT8eJVWl7oJiKkNegeIuRUkdVNCWfAbJx8RdN5EK3arulCvIyo0F0/BqNQ7T6z9suIKtu1uuGq7kcslwUnc81F08TCFU7mlpcgtb4IrRBe26KREGKFooWQk0DKxJoyGwPTw0S4yMjcdpH4kWVcKnrcStX4JpYJxG1CnXF0kaLfl0rhOcRAFM/FS9AHesPkKxMvyNx+NEoTchzQPUTIiim5hqRMFsGjvcQVFEfNhcEqrC9VAsDlpmma7txKOnSDuTYVUca+RRK4G/SB/howWEtcRnmRwKQNXUSEtALdQ4ScCPoCGIfAwZtJVhDkYq6XVVgwTAYDPYVZR0+DNrldTIKhSmxUCaE6GUgml1ddjKndMvnZTaPkZydjYLRZLHJHCFkp3OWZkFWTrWdZyvLBjcTSYlICTWIzFplD03bqol/Vh8sKowof0/2p4sDlBpMNrDRt6Ajjfafi5fAmMB23MAghpC50DxGyQub7DEng8Eby+miv3q/WqlxFTWkSN9L03DJt22YRN5fnA9t3AF4veZ8WCKSLiJClMf7m0dJCyCqRimA5upl81f0sYLNc2FJ9XS4c13HXdPTg1Tpzreqvbj9NqOrXZd1pMrZ+TRwBN19Lt1EI6SYiZMVQtBBCCCGkE1C0ELJSFCtLG+jxIVXH0cCt0/RavR+9P1MfrrGWYZF4m0XiYkwWpSgCbryafGV7QxFCVgJFCyErYveTn1BcQi1Tp+BanT4WyVyq6hMrcAO1IXKa9FHH3aQGKcso+brxKhCHlgrIhJBloWghZFUc7c2Db5dh0QXbFcsiLe2aVJUtlcC3vG86f5vFp04MjgtXjFBVfEvdeCEZAW++Ot/YkhDSKhQthKyA3U9+Ajh8s53Oquqk2L5c/al9NrG2VJXmNwkgm4CxzVNvb0uHXkRsmcZaJJ3b6XKLgBvfpbWFkBXA4nKErILrL7fbn8XtIqVELGPkpQskIIRIvjwBUdqRuKV5tHF+2ZgSR6yMhCw+KwEIvbNF07DrFK2LI2D/Ws0BCCF1oWghZBWY9hFqWkpevy5bjAHEcYxwFmI2m2IWhoijCFJKCM+D7/voBT0EvQBBEMDzPLN4sS3Ebcx50Wtcc6m4RkImIi6OEUUR4ihCHCemGiEEPN+Hn355osLIXIpZqRAqpuc0vtXwJgghVbC4HCEts/sLf706pqFpwbVUqEynUwDAweEBDvb3MR6PMZvNEMcxhBDwfR/9Xh+D4RCj0QjD4RCDQR++H0CIBa0uyxZ800vzLyKEKkSVlBJRHCOcTTGZTjGZTDCbTtNnIyEEkmfT72M4HGE4HKDX78P3fHv8yiL3rM9ztI3df/zbC3REyLnH+BtISwshbaMKFlMMhtCO1agkG0UhDo+OcPNGkom0t3cTh4eHCMMQcRwnBeyEgCcE/CDAYDDA+vo6NjY2IOUGhkMgCHqV4xiPuUrr2+7T9LrKpeKakykuRswtT2EUYjKe4PDoEIcHBzg6OsJ0OlWeD+B5HoJe+mw2NrC5sYn19TUEvV7anXDHt9QRb/r5VWSOEXKOoWghZJVUxXDYrAfK4hnHMQ4PD3H9+nXcuJFkIx0dHSEKwzyWJbskFgJRHCeukShKFmwgiW9JXUfOfX5sVoZFY1Vc91cHR90XKSXCMKmLMj4aY/9gH/u3buHw8DAXLDJO4n3yRzoRGB8dYXx0hMl4jDC8gI2NTQBAf9CHB6+ddHJCyEqge4iQFtn9uY+12l8cxzg6PMS1a9dw/fp1HB4eJsejyPnL6QmBIAgwGA6xvb2NCxcuYH19A71+bx6QepKLcAsupyiOMJ1MAAD7+/u4ceMGDg4OMJlM5oLFcKlAYnXpDwbY3NzEzs5FAMD29jb6g/7cjVZ3ji7XVXp897d+d+FbJeScQvcQIZ1CAmEY4tatW7h540ZiXYlMsTLlVTOWEmEUwZvN8riXKI4QxAGEt4RaqOnOqmTJeBEJCRnL/HmMx2OMx+NEsMxmiB0fxiSAKI4xHo8RpQHMAOD7Hrb8bfSCntlNtKzQIoQsDeu0ENISC1tZTPVGZOL+mE4m2Nvbw/7BQe4KKWNeSWWaRROGIWazWTt205NctA1uolkYJl+zGWazWRLD4rYe50gpMZvNsL+/n1tqjo6OEMt4uXkZju/+bLsWOELOKxQthLRNU3FgiQEJwxCHh4cYj8eQcd2FNE+nydN/ZZy8ljKeuz4adFWbZVKcG7YXEMk9xTFkHOdpzhXu7nJXUmI6nWI6nWL/1j6ODg8RR7F5Xk2zndTXtNAQ0goULYS0Td0S8I7zEonrYzKZYDabKYuxqwZ/Nvj8WCZWpEwSjKRrMqaFto2qs3WurVsmXz0l5fy+YpkHHZs7KFXly49FUYQoijCdTfOsIxlLtxusiqZF9AghtaBoIaQFnK6hBarIZsGyMrWYFBsrakKaOtcrv6YVctWU46rLTOnJdRfxqtL8pnNNsozyOGIxr/4rSvVutYHLzyR7durwURQhjEK3xUZPYTfN20DbQdqEnEcoWghZBXU+jdv23sktIhKe58HzPKDk1tEygAz9CCHgpWnOQeBDCK9cyr4NXOnRK8w/zIrp+b4PP/DhBwG8uu4vRRCpwkdmphvbNYbrbf0SQtqHooUQQgghnYCihZBVUOfTtstNI5MXvh+g3+8nReFMZLEZJWtHYjkIguT6Xq8P33cUTrOxrKVkGauDo2w/xLzCbdAL0O8P0O/34fl+vSGVRsLz8sJ7gR/AM5X2h/pzqZcxRAhpH9ZpIWTVLOIySBflXlp2fjqdIk4r3ULVEhZ3SCJYehgOh1hbW8NwOEj2H0pq3xfGqZpHJQvso1RyIbneq8eUKr5CCPTSEvyjtRFG47Vkr6EoQlQKypVJDIvWr+d5CILkz2C/10d/kAhEIYSzGm8jltnLiBBSgJYWQpakMsBygcVKIN38sD9INvgbDNHv9fMYDlvgqUir4faCHkajETY2NrC+vo5+f5DExkBZ/NtaRF39mJKbbEJA317ANoYSixIEyU7Ww+EwvdcNDIZDBJnwUC8SxS48z0OQWrKSjRSHGAy05+SibkaUcs8MxiVkOWhpIWRZmmwm2ADheRgM+lhfX0McR0lw7lF6Mt3ZGVLOu043TMzK929ubmJzawuj0Qh+kO7y3LblpPImWrjOMR9PJAKj3+tjfX09SVWGxKHnJVWAs2JzUhY1RLqxZL/fx9raGgBgfWMdg+Fw7oqzWYVc8zNtEEkIaQ2KFkKWZREXS9XOyqnnxw8CDIcjxFJCCC93hyTl6kNEyo7SmatjMBhgbW0NGxsbGI3WklgPkxupxhxqXdMWTVxG2ns/8DEajuAJL7VQ9XF0dDTfhyitVSOUnbB7vT5GwyHWNtYBAGtra+j3evA8b77js2uOddLC6RoipFUoWghZNXVjI7RP60IK+J6P/mCQp/f2+4lomU6niSUhjXHJzvd6PQwGQwyHAwwGQwS9dK8hV2CpvujaLAe2a5rct6udzUphEita+8ydlrh3kliX0WiUF+dTq+Vm4q7X62M4TNxvADAYDBAEQZpi3pJAsz1HQshCULQQskp0AQDHwq8vyLkY8eANBwh6AYaDAQBgNgsRhqmlRcrEguD76WLcQxAE8H0/cZ+4FkubcDG9dh2z9a3jEnB1M64srzPhIrwk6Hgw6Cd7EoVhIlpiCZEGOGcCr9frI+glfwZ9z5+70NRCunViW6osVhQshLQCRQshq2RRMaAIncxVEfh+HiQa9Hr5nkJZ+6wQnSc8e/xK2xkxTa9f5eKdZhT58PN06P5gkOxNlOxhkD7QxEUksmeV7nqdhzY3FSo1rGaEkHagaCFklSy7aCnuDwgBPxULnucplXPVNvPvRjeP0Cw+i95LU/fQos9hwbnmJf59AXh+8pwUoSWSaNxiheCm8T112lCwENIqomJX1BUW4Sak++z+7MdO/8J0XJ/22x6nDdHj6ncRQbTIPAzX7P7W7zbshJBzh/E3jXVaCFkG2wKmby4slS80/Djgatt0x+FF+zBtiuiqpdIGq3KxCM3ytMicVn0NIcQIRQshq8AUN6Iukm3FgbSxIOqBwjb0OJZFLA6WDSJrza9O/1Wv6/a5rI15kfskhFRC0UJIm6zK+rCKRbTJeZdIWaAyrDWQd5n7bBL03KSvZefSVp+EEIoWQlrFVlxMp+7iLBu6R2z9Vl1fZTlxWS7q9G06ZnMxLfvMmratun5Z9xwhpDUoWghZJbYF3WRdsLkxFnHDtE1Ty0XdWJsmFok2U6ubPKM67jldgFHMELISKFoIaYtFF6pF4lxcfR1XplCV2GrSR9OxTeM2jclxUWUxM1mIWEyOkJVD0UIIIYSQTkDRQsgSFOpt1HFJ1LEOnKRroW5KdlUmlJ7ivcxcbOf0uJhFYmuqxrf1vUSMEWu0ELI4FC2ErJJF0nnrpiDXHaMJNiHStJaLnuK9SLyOTQw16WMZ2uibbiJCWoWihZC2MFlR9DiHNoNJF53Xqq5vK0DX1abJM9Tjblx1XBYp+ld3DoSQ1qBoIaQNFg1GbYMqq8ii9VXU65fZNwiKK0fPmlr0udmydvQ2wvBaH2PRon8qde6FAoaQpaFoIaQN2nRTLJs6W3cey8zXJRbqxIEsWkZfH/u4sqWq0OdxkiKWkDMMRQshy9JWMG2XPqmb4lVsYsXkemlSyG5VcSw215E+B9d1NhaJCSKEVMJdnglpgd2f+1h15VpX6fq2FuEmcSVtfvJf5h7qPLczYqVg5hAhtTH+1tPSQkhb1C2Vr1soli3RXzW+y43T1seSZURFVZbQabFa1LWo8aMeISuDooWQFtj9rd9tLgJOKlBXGASUii2bpk2R05Qm1Wzr9tPGuCZBZdk/iVYWQpaHooWQtlgm1sIWU+FyKS1KVeE3WzZN1f21IWhM1idT1tFx0fTnqT43WlwIaR2KFkJaIv8k3WSxqsq0sRVnq1oU69Q6WbSuikvs1GUZi1TT4numMRf5GVUd01HmTSsLIe3AQFxCWmb35z5WPmgLJm0jyHTRPs5QgOux0vC5UbAQshAMxCXkxFhUsNSxptQptFZ3Tm2yio88TSrX6m2bpDW7WOZnRghZClpaCFkBBWtLVywarnk2Sac+iXttc9wW07dpZSFkYWhpIeRUU2UZqLquyThNC9nVjaFZpWCpitNp+tzq9FVnPmpgcxfEKSEdhpYWQlbEmbG2LCtIbH027e+0PcOK+dDKQshS0NJCCCGEkO5C0ULIiih80j5NFgIXupslsya0Pf8mwayqpcdV3bct6vbliP+hlYWQ1UDRQshJs2j9kDrtF+lPrRHTpEiarZ6JK7i3TnyN6/gqYkkWcVstcz0hpDYULYSskMIn7joLdNN9iI7DAlJ3DNu1rvuuY8UxBQi3WX236lgV2vxpZSFkdTAQl5BjwFhwTmUREdKGcGma5tx2ajFOOCC3ZSsNBQshrWH8zaRoIeSYyIXLSWTBqBv5tZkFpPeNFVb+bYo6ZptVgw3HKFYIaR2KFkJOAwXxghOOgTgOMXGcgqWJdaiOCKsxbwoWQlYCRQshp4ml67jUWaBd71dliXC1hUUQqH9plp1T1Ryq6tBQrBByGqBoIeS0sZTLqG48Sltum5Ms0Y8Vx+64+jcIrN3fpmAhZMVQtBByWqkM1F2WZWNZcIpSeZsGD7vOmSw8DmhdIeTYYEVcQk4rtRbDJvvh6MeqrAym43WKyy3yscaWAr1sUTcoridTv7aU7JrF8yhYCDl5aGkh5JSxsNVl1daUum0WdXM1vXbVKdkpFCuEnAh0DxHSJZZ2GbmyY9BCjAhqiI1lYkmWpWqOFQKHYoWQE4WihZCu0Ui4tGVlqLJ8HFdWz6rGqzEWBQshJ47xtzQ4/nkQQmpz233J9zdeMJ9XF+Cmi77tuKu/OoXkFqEqTqVNHP39889+EQCw2/KQhJB2oGghpAtk4iUVC6OD13A0HrtrsmTYFulFrChVAumkWEBEjYZDHK2/Bb/7+38EADg4PFzN3AghrUH3ECGnlN1HHtaOmBXFxtFV7B8clDtou/ZL1fmTquNiwjKXjfV17I9uLxx77cpVAMAf/9s/Lxx//vnnVztHQogLpjwTQgghpLvQPURIZzCbMfZHtwOj2wAIXJhex429PVdzO3UsJXVqpJwGa4tSDfjC9hZu9C8CAPYLjZLJXtq5AADoBQFmYXjsUyWE1IfuIUJOIYlrqE4BE+Wcpdnt2McsDHHjxo3VTbiJ26hO2wXEz4ULF9ALAlzFRrlTKdL+yh1HUQSk7qGr164XztFFRMiJwewhQrpF3ahX90p/FRvJb/ptF8qXAbijN0Ycx7hy5Uqxu0WmWnXONlW18q5l/MuXL8PzPLwWDpQ284Z2SSaUZqrASzoJU+vKYDCodauEkJODlhZCThnlAFwDyqI7f184aXhtel8TKQGhXCeVF0Lrb2kXkZZXLYXl3lD8E1WypmhtDfOScYwrqXXl0cefmLvWFGhtIeREoKWFkM5QN/XY9j7vR2j6xdAwEySlMZUDQhNHBcuFdmFdw5AVUZyr0M7pbUsdaxYqx/5JszDCq68nFqbD8bhi4oSQk4bZQ4ScIvJYlsJaLJMvHWmyfMBsfXHaTE3iAGUrRX5I60xq382TalZLpWre2fNQN19UhZWpL22nRiklbt66hVdeex2vvPY6ZrOZcaj777+/xoQJIccBLS2EnDrmq7qUEkdHY/T7PQRBYG6mu24K56XmXtGp6d5xWTt0i4geb5K7sjRrT0nE6O4uy33lY6riTrH4WO+1KObCWYgXX3oZN24mLqEKVzkh5BRASwshp4TdRz5RtBJIiaeefgaPffkruPLGNcg4Nl9YWNgNZgahW2qk2+yhH8qtGlaTSvGQUTSIZJ6luRr6NATZmhHKl8XnVOo+FTpS4s29Pbzy2usIwzAPxrVBawshpwNaWgg5NcwXXykl/vLxJ/DtF14EAPR6Aba3NrE+GqVNbQu6KQBXtz4obXQrTMFqY4kRMQqdtK3J6mO0pEgtTqYqJqZGkI+xidn6EscSV66+gf2Deel+KSWE9bkSQk4DtLQQcgrIM4ZEIli+/NTX8exzzyOOY8RxjNeuXMX1N29oURkpRq9GzcCRUhyrKJ6HxZBhnEhFzEshWLdifrqFRNa4n0IcjDS7vtJG09kM12/cLFhYqgQLrS2EnDwULYScIqSU+Nozz+KrX3+6cPxoPMGbN/cgpZzHXmTfhS4SLIpCP6THcFR4mUouIKP1poa7yXjeMhdjt47Yk4JA0gKJlec2m83M+zURQk41FC2EnDC7j3wCSAXLU994Bl/6ylOlZTmOovIuxLmQEIbsIYMCKQkPxVWjYxIaTvFhi3exmWSsKT727lVBkltTDN3Y5q7c/8HREQ6PjtxjGqC1hZCThTEthJw4SSzIo48/gW8+Zy5kFkuJ6XSGOA3G9Txv7t6RqrXCVIjNEagKi6vG1NwUr6IGzebnDZlCpntWg4FtGVBq89I8TO2VsdVnkV2TznUymSAMI/t4hJBTCS0thJwgWSzLX37RLlgyzGu6LAoW5XDxhaEWS8FaIY3N5wc1QQJDu9xyk42l9VmamyKo9KwiabygWAjPGssjFIGCUv8yjhHHcuEUZ1pbCDk5KFoIOWGe/85L+Oa3q0vFC+EVY1qSo9p39a3BGlG6VLvelq7silnR+1fdVuolUloMPoZg2UJQrSGANxNq0iTQ9Lea2BICR5Mxwihy19wjhJw6KFoIOSF2H3kYYRjic3/5BWsbVaDMwhBhGLndGlYLhMtDpFkyTMdd6DVQoKc5Z8c08WAp01LAlMKcW4OEpstsqdbFNzKOEc7CUpMmlhdaWwg5GShaCCGEENIJGIhLyAny//yrTzvtGWrtkHAW5oG4Obr1pKL+WuWJwk7Opjou+rVqvIghpsZYaC5zE1UVlDMN7CjTL1Hc+bo8mXRKArGUiOPik2dhOUJOP7S0EHIC7D7yMJ5+9tuYTs2b9JkQnoDne/B8/ddWC3i1pQNXoV5fKNlvqfmix5uo51S3TelyvZy/YzIud5eh23nFXWhiZe6aiuMYnufB85YTKXQREXL80NJCyAnx6Je+XKturUop7sJkVBAGK0kdCgYTzXrisuhIWbzGEFdbeiM1UVO6DzVepcGNFASTeSKxlKnBh2G4hHQNWloIOQEeffxLjTXFcDBA4PsIfN+UBlSd5FO1SBstNJaMHynnlXetNVNKnStTVgN0TXO0FaQzWJVMyVTWacg8C8vzfe7sTEjHoGgh5JjZfeRhPFMjxVnF932sr43g+z58328uEpyF3lIK2wFk4kCUtwlIGptTqu2dG6YoUdpBOk9pNsTHSFG25jSZQvoMpIxza8uycSx0ERFyvFC0EHLMXLv+ZuNrekGArc1NeELAW2ShtV6imymyEvlZ0TfLxU3FQuG9Urk3Fx+O6NqaJWIqEUVr06JWFlpnCDk5GNNCyDGRVb/9/c98tvG1o9EQmxvr5RN6CX9UWFWkIgIygVJoqlScNVk7nOJHL2Qntcq0WR8mFWK6Hu5socrAGANCQMokGLc6GNjWRfG6+++/H88/38xyRghZDFpaCDnlCCGwvbmBfq8HIYSyaGoCpHRMIxciBjfLfDRzH0IVR4Z+C1k7ijUF6nsbFsFRZc2RQmuc9eUYKz01C0MG4hLSQWhpIeSYeP7Flxa6rt/vYXtrC/1eTzujWUKyGiUm64nVYiHMFgv9UD6cRVzoac6l+izC3Ld+H/qcC+Nn11fdj6s7iTiOEYaR080jpWTdFkJOIRQthBwDu488jEe/+IT1vG2R9H0fWxubuLC1iX6/Z9hlWRYFAWxiw+VBUYWEwQJTJ+a3yfpubOvIqRaaNadWjRftppV4ljiOEcdx7aJ+dcgCcukmImS1ULQQckxMZkkhuWKGb7KoqotktuQGQYCtzQ3cecdlXNjeRuAH5iwbWwyL7jpyrcMVxg4nQrOK6CJJF0RGMVWV2dRgcoUaNar4Saw00plWTQg5zVC0EHIMxHFsXGJFGhia4QkB4XkYDvq4sL2Ny7ddxF1vvQPrayMItYKrVtnejGVhrwqq1V09tjbQxEjhpVLePxcnlsBZ3UPlpMbk1MBkWZyTBBDLGJ6XCUUKF0K6BEULIStm95MPJ4GfCpk7yPd99AIfQdDDoN/DcDjA2nCE7a1NbG6sY2d7G2ujYVqbBfNFtiAWLJYO28KuCgu1jyZVdCvbqfPJXDQOn5Pen5QW64twnDN0qN2rUNRWUmQuajV2hZlEhKwWihZCVo0A9vcPCod838dg0MfG+jo21tawubGO9bUR1kYjDAcD9Pt9DAb9JGMIsKQJo3xMtTKgyoKhiYisiNxCi7hF9NiCd/PJmc5XiBLVcmON8bFdlEgX3/O0TCx7XFHmTmJgLiEnD0ULIcdAGEVp+X3AD3ysjUa4fOkSbr/tItbX1jAaDBD0AvSCAL7vw/M8iDz92JRxY0NvWOdCw67L+n5CtnYqNjHhCgA2NhLl8U0WpNIYhqBk/WIh4HkCvV4AT4jiqJb7olgh5PRA0ULIMdDv9XDp4g4AYGNtDZcu7uDSxR1srq8hCHrJJ39P+eRftQlh0shwQne7mGJadItKZiGRZUGgi4WCu8UyMZfIKgiaij7U8UueMCVmxXbv+ZhK9lDqkuv3+4mlxXxFOlWmPRNy2mBxOUIIIYR0AlpaCFkhWen+9dEID7zjewAAo8EAm5sbGA4GqRvIYBGxluHPzsNuWSg0NmXr2K7T40McqdAFC5AhhsYWc1tw6WR9OFxY+rmSiyjry5FOpQYCSwnP8zAaDDDo9zGeTMzjLuEWYjAuIauDooWQVZKul71+D3fe8RYAgO95qTvIswsL055CMDctDgbL4q3Fq8AgXmyVdPVzpXGVNk6lI8z9lEJQZEXgsQGTSyqLc5FFgeP7PtbWRlhfH2Fvf58bIBLSIegeImSVpLEUIo1r6fd6CIIgESzqWqlaLwovHUGvUt9nR2gCwjYnUYwZsQ0ltPlULe4C5n6hW1W0vkoWjboWDm0QW+aSavlJM4bW10bY2tzEoD/fGqGJeKHQIeRkoGghZNWkIiFPsVUNIlWF3nRUnZJvfmhYQOv2p1s4SuNp4iJ/qwumCgGRt6lwUTXZEkA6GlZoitFwiJ3tbWxtbuY/lybuIAboEnIyULQQciyoi7/FRVP14V2NF5GGC6S096FrDBOlhVhJty4UtQOK5gtNaZTGUjOhHHOELqJsjZS52O5LT1BSTwkB3/NxaecCLl3cwdooqY9DCDn9MKaFkGOhhgvE+uE9CyRV2+rF3Gw1SrT2VZYMtYJtIdjVZRYqBZKUa7YUKuM6xlevscXXGN1oUASRMDZVQg5dBwAAIABJREFU8TwPo1Fibblxcw8AMAtDTKfTiskRQk4SihZCjgVDQK1LQJSKqemNVWGQva9QJLonSapdq4KiIrsob29om1llMkFVEFI2l5BWjK5UI0YanoHUbkgozwD2h5vdpifQCwJc2NrEbWn9nMl0iltxnG+5wDothJw+KFoIWTXS4AYyreHWDB3DAlws5Wq4SK9eK8pN1FPW9GPD2CZhk1tHbMdRxpXFlLumbJlElns2CjxpvP9eEGBjYx23X7oEAJjNZgjDEPJojFDbK4oQcjoQFVHwDJEnZEGyGi1WqsrdVwalVoiZWpgusFkpTPv66KnMujUE9ftvMmddCC4ynJSIpcR4PAYAvH71Gl67chWvv/EGjsZjhGGEOI4bz06kWwV861vfbnwtISTH+EeClhZCVo1t0SwVlMvaW8RMqR/FjZK9dYWeGOcmykIpc7NI1d1iy/gRSjwNNMEizHNvspu0Ecv1NuuUTcQIAQ/AoD8AALzl9kvwfA+DQR/X3ryBvVu3MJ3OEEb1xUsQBBgNB9jcWF/w3gghLihaCFk1paDZqvbaYltY9PXCKgbrxzKCQLWW6G6ggmjSlZKxI7MXp9Rczz5yWHRyMWTZzTk/rqWWWwOUAd9PkigHgwEu33YJo+EQa6MRbuyt48aNmzhI3UVhFCKOYsSKdTqxqiTFAgFgbW2EOy7fjks7O4ZnQghZFooWQlZKjYyZOh4aUXqhvF/AnWPrTj2oCqWSRaaqD9uNmCxBmnXGalXSA3xNUzfMy+RKKuePw/d9DISAv+VhbTTE5sY6Lmxt4db+Pm7tH2A8mWIWzhBFEaIohpQSQeAj8AP0ekmRuu2tTdz91juwc2Hb9VAIIQtC0ULISrFYBUxBt9ZA3Oy8xbpgzZKxtNWNNY6p5y90a4XqyqrXSfWYUrHu2MTUIlYkk85TH7qSreQJgX6vl+wE3etha3MDh0fbODoa42g8xtHRGNPZNHUZSfR6Afq9HkbDIQBgfW2ESzsXMBgMFpgoIaQKihZCVo1JPJTiLxzWg9wCobs8XPEyWkCsrK5dkgsQqzAw3YdRXdlUlxa065iz1bVjDfCZ34MqSkouLaOCmb9Mx/V9H57nIfB9rI1GmM1CTGdTzGYhoijCLAwRRTF6vQC9IEAQBOl1Hgb9PlOlCVkRFC2EHAvqglz8dG+sipu7ZZTzJktLE4FRRSMB4uxIu1/NuqHqD6BczA76kDUEizHlWhdJNVxoymshRLqpJeAN+hgM+ojjGHEc59oohoSnbAHgeR4FCyErhKKFkFUjlZojqBAh0K0LVdk7eltbrMeimcY1LyjUVjHElhQq4+pdO8Yw3prBWmO0PNnqwyhCyRjMq85RzLuX8x26AWXTRCGUISlYCFkl3HuIEEIIIZ2AlhZCVo2xoqst1kVxlVgDb1NKFWVtbYU5Nbrc4WJuJTXN2Iaexl2Xwq3VCPgtxQqZsoYq+nIOM7eSCU+xKhXKcC5bPI8QYoOWFkJWTS4uHFlB+XdTfIWlMLWpbL61iLWlr8LO0IbYGvW1VOaqz6N0L665qGNrA0l1ML294XaSSVnaKe61wjHXc5XalzZmQfNkz19qP1sKFkJWBUULIavGVm4+e5NbIbQYFllYIWvg+IRvEibZmKLUyBwvIqriahRNoPZp1VGieM9SmK1GasBuqS+hqAlZunRusYLhvDCIMGG6ieLp0iAWsUcIaR2KFkKOG2NmjOF9W0Gz+aLd4HrX4ms8Z4r0FeWtAIx7nRlcO6oVptClfr1UxrXMvyCEdOtJnXtuokSoWghZJRQthKycBRcyh6ekehjFLeJ0M1ksIc64DpsIsVkmzCnFRheM2s6Uvgz9mG2OpjaGOjDGa/RLs5gVk8/MMO+KqRFCFoeihZCVY1gNC4tgxQJYawVUrCkSReuF7hqS2jGDAcI9lEuE1IxnyecjHC4kdaKiGC8j04J5JQuLLoRE2c2WaxeT1Uabnvpamk5aYm8Y1kLISqBoIeS4yRd9h9tCJY/7cAkBpY2+nupWB1O4RmmRtQW3uhZk1c1TsWqbQklKgb5CExpKfIqw7fRsuDnrbtqGh+AKBK4Un5ZmhJDWoGghZAXsPvLw/E1pgTYIi8IbgxtCmpSGjmFfIaN1wDCkqa9MBOmWAz3jx4QtMafQvSxmTNkCfTOhYjSMVIk5x3yNosdw0hYPnQcO64HWyQW7n3wYhJB2oWghZNUULB2aAsjdFOriJ8orpVGvGBZrvWaINU7Dct40eZdVJrNW6AG2JstNqR9LRdrSdaoVqSrOxXIP+RwVtWgUQaa+bO4723CO/ZUIIUtB0ULIKjDGddgWWE1oFBbPKpdQG9jMItZVufyyUnyoAapNAmgUIadn+mTioCpgWZgEj0OMlX5sJuVny2JS+2I0LiFtQ9FCyMpoICr0oE9olgFjqjDM5woLpva90pBg84VUjO2anz63UiyJI37G1Q80HeiMtdGr1lbN0TUhR39V7jhCyFJQtBByEqiLvNVCYFAyhQ/0stjOuGCK8vX6HErj6K4TS4ZMZu0wWmUs18BkhbAEylbhFCGKWMusO6UpuoKfFatQSWSZ5inM1htCSKtQtBCyCiq9JQYXizOm1JT5U2OxL6QJO+ZQuEavklvD9aNnKFUiLPfrEDuGLuyNVLdSqbHBXWTrv6YQKbiplGdOCGkVihZCVoVTgBgWNmPIS5a9s+BHeHWjQlechTOl2ZB9IzSxlX0vpHNXBOca79dwn7VEgx6gW6UYMtFUM/vJZKHS56iLSVpdCGkdihZCVoXVEiCKC5szkNSQeuukItDCJn6s2Um6snCIipIIsbmMGpgg9GJxtawuloDnTKSobqq6z6PwCOpYaAghq4CihZCVIxV1YliAcwuIxUJgDTS1bSDoCAg1umOqxIQ+L4uIqNQklRGz2q7TiotG78I4jmWO6rVCGPYv0q9xiaqa1YwJISuBooUQQgghnYCihZBVUDBgqBk2utWg4KuwZKqolg1Z3EunqpSKMT5VteroOcPqWKbsJWm2fEjMLRi22BmXcUIqsTuVQcDqOKab1u6lFIOiWp5MwTwm15LUmrmsRgzEJWRVCOmur8BfO0IakpTwr5N1A91HVDxcK4NHO1d3WFcfxrkt1LHSldQW+yZTc81PGF4vgZRKRduafUo1E6l8ze6nfmP5eRFy/jD+8tHSQkjbSFQsdlJrJ+axEtJkRbAElSK1hjgzf7T2peNynklTwhTQWjPbpnBcmvfoqYNL6OSBtVXiouqzl2IWK5Tgr7B65XN0BSrzcx8hbULRQkjbuFKLobhddGHSZF3PXTGGomnWOenz0Bdp42S1DgwWIWP/qvhyRs+6cTUXuq6yCaqq8U1uO1Nby4OS1jdMJSKkZShaCFkJjsVK2NbXzOpRld0Cu4iwXVLa6VjOxZWzC33Bl+XTViuNnmlTY76luRobKH3pMTmWqZjelMbRn5EeGGQQPyUdY30ghJAWoGghZFXkC7Y0HDdR5VqoCBA1WQZyi4zuwqgIOnW5i6w7OusBqEo1WmN6suHZqHMtCZ70vawhDOrshaTXWzEFHpdea+6/XNdoAdKEkJVA0ULIyjBkDMHm0lGzU0RxYSw0k1omi3Aslgu4ZbL4ENXFVRIpjpQlqd+b4sYqjWUTJsr0hc3aUeGmcRWAs+k8a/0W9RmYhFYasyMM4qzuRpKEkFpQtBCyKkyLGBzuFHUBt+oCoS3IVXvo1HQjFfpXrzX0b7PuSJNYsGUeCWWhF5oo0EWCNn+HZirO09BGF1VVAc9qgC5Sa0y+SWTVhCrEEyGkMRQthKwEh/hwlo6vCvQ0XlRuq1sw6oTJFI47XB1C3exQsYRY1+eKhTuzqBSygExiq4G1yKSTCqJK1rOC6M9RlF4UUV1lNLIQ0joULYSsBKEJCN0dYnGXmI7V/bBeWvPrCCB9ktn1mljQM2RKXi9b2rRlcOOmg1UCSI11cfRvK9VfOKZbrCxUpmrbJiMYk0vICqBoIaRtSuEXpoBawwJsinPR40P0mBbb2Do2L5FwCAE9oLYq0NSYKqzfYJa5ZBFUubXFcY/5af15GPw+Ur9wwTgTZ3CyA3qHCGmV4KQnQMiZo7RQCfPxSiuKXkOl4QJp0ximbQCMbiylvdPioN+II/PG1UdhjBr3KjXRVff5LhJnUgoIVueoDZS/bWImI4TUgZYWQlaG6xO9ZkXJhITJKFN4Lw2WG5uZRGubaxWhBdyivOiqL4wLtm2StjiaqsycOrErDheWS1OYrrV46JzjGbPBdMGi/lzruMwIIU2gaCFkZZiEgHIuDyeps7JlZf5NmypazCS55SITHw4fkHGxF8XF3eRKcrmVCu4ikztIKlacimwcaTmuo3alu4Z0oSJQFlkmd5J1IEMb3YpDQwshrULRQshxYFy8dEuGspCWFl61dooleLbQtUUEmMQTbIJGNSyYMmgsrjCbe8xoRnK4g1RRZ7SaGKwncHRpHE6Yz5cEjBJrQ+sJIScGRQshLZLs8Kxgc/tAj8dQapVIW6yJUsSsfFLvvHhddswmnkr781T5qSz92C63TbGWMcO1oeNiU3QcULKjLM+hpMHcN1v6N0EIWRiKFkIIIYR0AooWQlZJFq9htQLIokUBhozfqlRjW7zofBLl81nKsLGJZgIpWRQsloXC7tVG05L5ujpUxccY52N4Y3Vd6cfScaRu1ZLlZs750JdESJtQtBCyclw7NxvydKW28NtqmhS6kKoasbcvJMBk7imDK8kWmJvfT4UHSRde0IWSJR6lapGXmphyuaL0YnL2Tg33LQrfaiVOlfqsGpcQ0hSKFkJWQWmBtllJHDETNguJNC2mmVXAErfiCoMRBmtOqZ2ebmzWW+b7ULtW1IxaGM52z1nH6vRUgeOah9QekvqsS1lCtvvWplUQTa5CfxQrhKwCihZCVoFqyTBl/uT741R9lFf7NCzSVdYNHdtmhxatUGhg6zsXFIYGpY0PMRcJ+r3kQk/P0NFK4uvuNB2XQGvsrdHmX3jelq0ASps/Nh2TEGKDooWQY0P9RO8o7tZolXMsqsYpaCpHd4cUhjdYV6zjW/ooZDq5Up5lMUbEZD0pHav7nMRcINZJvCrNUY8xcsyhME9aWwhpG4oWQo6LWqnAcr7IlmJCTMdtC6PBFVIrNtYQGJzP3dKByx1VGLhGfrO1xL6hdk1elM7xUE1zlo5z1ukp83LFypRcYNQuhLQJRQshq0JfT/US/MY1UxhfFuI3jEYZ/aChn3wtlUUlYxVBiitLuASFCdvC3tBXks3XZiXJKwQblJnqfhNS6Uvps/Y8dItKlWVLsSDRPURIa1C0ELIqSkGiwiFKDNfmWD6u54d1IWQL+lWEiyp29D70xo03GDRGCjc0OyhZVAVRopE/0rSN2lZ/9gUrSEMBprvVrAXv6lrCCCGLQNFCyKooZBDpx2tdXN5M0JpxY1qoFReF2k0WQGos9V+Kdi1mLdWauylq1nStq0Mxt0oVgporxtXbGoeoafkxWrEs3diOl4QrIWQZKFoIWRXqAmpaG50CQBS+zQ+LcqxJ1tCUPg1l4VQ9KLkVo+TDcsfL1lmAbdYeoYsFYX4+i7pTjCLRVdgPhs0ntenZB2o4L0JIG1C0EHIcFD592+IhVOtK036VWA0TUo3lUASVyfUjtOtMx+vOyWhdqegsvw+TS8wWi2OwyLhcZaW5Wo7nY+jCzvacTX1RtRDSFhQthLRKY5OK4vIxZNDYLAGlrhWLhTQt6C5TicNdkrmRqoSUXrgtEwyNhI4s30+pnXIfVX1bXTNVwbEmoaZnCTVxGdE/REhbBCc9AULOFibrgKsmi7IAlowLsmg9MBkfClYNxy7OmdundhysBK69aDkH4Pb7DPcgq8WEOsc3XnDP4bb7zMeXTSO2PSeZBdxSZBByWqFoIWTVuNwdziwdUWwjFIuGKT7EutZa4mMK4yttXYIlo0pwtMEbL9iFC1Ccu34bUnHL5B4p13PQhBcUESMXyaAihKwCuocIORZMwbOFlB6Hy0K5VpjSbfXV2pGVU8d75Vqg61g5aqUCL4HNZVNqI+ZxOwWXm2si2rNeKOWbELIqKFoIWQVSKWZmSeopZc6orh6YXrvGUjsRFpFkWud1C41mnTA0N8/B0sY5dg2k9h16fI0sZwi5Hp80iLKqjQ8XzmZiAC4hbUPRQgghhJBOQNFCyCpomuWSo8S4lE8WrymkI+vWA6UGizBYH6pcUU2sIqrLyGpVspyvopD0pMbu6JYlZQA9DVyt32JMnrLVvrHcA3QLkMUlR7cSIa3DQFxC2kTqC62jYSmLpc7FymKdB5aqbiZ1nx5FSagBpTXW0j94MgnElVJCCIGf/sF77Y2brM0Vbf/gyRchhEC/14OUEv/Bj6WBuIVgWFdAsxZUXGpeIyinzv0UpmIQjML4hhCyJBQthLSJyeIgLAuZKb6k9gBaX/lpoynBcs60oM6PZYIFiogBgMcee6xwxe7PfazRLez+1u8W3n/gAx/Ix8nGnUyn2pS0lO38dY1idYXzTQWES3Ro2UvQdRMFCyFtQ9FCyCqwZS9DrxNStbBVpUqrgmXZSRaP6UJCCFESLDCIkKY8/vjjeOihh6qnKWCwFi0hCoyPtqYIytOhDQYe6JYhQkhbMKaFkNaxZKNI00Kp1AQxYi0qovVdM1ikYWJSPtpJLcD63kjOeTjSvEunbHsSCa0KsSOmyHG66LIjhLQFRQshrePY00cPis3P1RUFlihaYevYMIfSa6XP07bIqhVqK4WZQ2Bkj0dWWVIUMSO149baOCj/XOp6rQghjaBoIeRYMBUMqXMsO6UFTZj2F7KtkKW6Jqbr5q6Ok15npTLfJGzFkflj7KDQ2fyggKEwn44ikPSYmcJ7fcBlXXWEkDpQtBByLGhpucZACO1YIZhX/fhfIwtILZhWuNaQ6aJNUXgn+2dBCAEpZRJH43nl+BWjYLN1Zri2zq7L1kwlLVPL5HYihKwMihZCWsX2SVyh8tO+Kz5X2Bfv7H2WbWNyOekuFkMTT7sus3yYgnDbQu9bCAEhRDoXzbKUCTaToQqWmKF5x3OrUl2swkRPLUdZdFLDENIqFC2EtIopQNawwtbK0FVjJNRqZooFpWBEEWYDjtqpsQidHutabHNSQbhqyrXRsmR7bxMz0IRNqZ1FYZRu32Hl0i1XVpcSIWQRKFoIWSkN6oPogZ+qRaDgrtBdSLrLQ1skc71TtSiXz2duGlk3O2kJ9DGcYkm9J9UKI5UquIVsrcytZukHWjB0Nhdpaqgdq4oZkicj+gg5i1C0ELIybGm1FkxuDaEtirplJHdPCP2gYpHJDlvqvUi1H0AqC2/mpnn88ccb3MhiLDRG5gbTY1eEru+E+blUpSzbrDeFsUTRLQftGmoWQlqDooWQleFa8VyWC0MMDBSrQSl12rY61lgtDW6XKIqrrzsGpJQFAWVuZA4mLjdCVSM3ehySqUvVFaRYfo7DSkXIeYGihZCVI8quGavLwBqBW8560a0LeReW4nZwaaX5iVv7B4UzqwzA1VHHEkIgjuK5CwwwWI9s8Smm1w3Fg36dHm9rDLQtWnpiKRGGYbNxCSFWKFoIWQUlC4CexaI2NJ4wUCcuRqJQkK10zrZwz61CV69drx7nmBhPJqlAUFSKSZDpAa8FgZG5byzp5DZsolA9bH2eiXA8ODzCjb1bNQYjhNSBooWQNsmsHM4sHjVGRWiZQRWXGLJ9iou4qIilscW1SMg4hpTIRYuU8litLBmPPfZY7lJ58+ateSl/Y90ZhUJwbvac0nvL/ssCi9PXsH1BP6b0bfr5KV/JGMDReIKXX30dr165uupHRsi5gaKFEEIIIZ2AuzwT0iKzMIIQQOD7jv2ElONCiWGRjvofrsxpPVBXimLbPC26XKNFQmI2m2E8mSKOYwSBj72DJKblODKGbGQ7P1+5dg0Xd7Yxm80QxxK9wEe/30+r5gJSJkHDYRhByhixlBAQ8DwBz/cBKRFFMaI4hpRxbsERQsDzPPieB9/zk2Nemj2lBM96wpu7nmSaTZW6qKTSNo6z4GWBOI7h+x5e+u5rePXKVQbiEtIiouIXir9thDTk7/ytn8fG2gj9fj85IFNxkouJ9HVBsCgCxhGL2yiNVllY47i4YAOA53m4cXMPr119AwdHR4AEer0eXr1yFZ///OeXewgt8ZEPfxjfc89d2D88xGQ6g+972N7cxMULWzg4PMKtg0MAwOHREcIwQhRH8D0fvV6A0XCAQb+PyWSKaRgmQb2QuWAJggC9IMCg3wMA9Pt9eEJAIhE+2Y/B8wR8P0Dg+xAieW4CArMwRBRHmE5nuWiZRVHiGRQCX3vmWzgcj0/ExUbIGcD4V46WFkJa5rUrV7G1uYk733J7+slciY+FmiCUCRZD8Kych6cUf3Vl6aUxoTrNWpnOQkwmU4ynU0RRmForkl974Qk8952XcXB4hDiO8ymdJsvAeDzG8y+9glk4QxhGAIArb1zDpZ0dHB6NMZ6MAQCT6RSAgJRxXlumH/TQ6wWppSVSQmJSS4znIfADDHqJaBkM+vADP4/tgUgsLUHgI/B9BIGPfq+HQb+PKIownkxwOJ5gFoaYTmfpjBOBGIYRDsfjk3lohJxhKFoIaZkr167j1sEhRsMB1kejZPHzvHxPHz/dkFAIJQhXEQqydA6FcwAg48wtIRO3B+buHhlLHE3GuLV/iFsHBzg6GmM8mSBOXSW+n4wfhsnCq+Od8IaJKrGUuJW6qzIxNQtDfPf1KwU3TqHkf/qUwjACxvMNGFXUvY0O0vsNggBCJHVqMmGTtfM9D71eD/30K44j7B8eaYIFifgTArNwBkJI+1C0ENIyh0djTCZTPP+dl/HWt1wGpITv++j1ktiJfq+PQb8H3/fheV6y+MZxLlZiGefqJFs0ZSo4wiixNoRhiCiKEEYRoihO3D+QiYskivDm3h4OD1OxEicxHTrFhX5+7DRh20IgjiIto3wej1LnnvJYFABIn+lMq6eS9aUKHCEE+v1e8uzDKP95nLbnRshZhaKFkJaRUiKMIrzx5pvJYpYueL3UDTEc9LG+NsLm+jqCwEccx4hjmQqQqHANgNwyMh5Pc8vIZDrFbBZiFoYIwwixzMRL4p44Go8RV1RjNS30QohTE88CAJ///Ofx0EMPFY7l8zUIlEzgmfYt0o+b3puuyY5Haf+ZuMmtPKzUT8ixQdFCSMs89thjeOihhxBFMW7s3UIcx/D8uXuoF/QwGg2xsbaPzY11TCbTJKgzjb3Iyuh7npe7JgCJ8WSaxm5gLlbixMqiCxR1sa3apfmkdnFeFFVguc67jtuEjYvsmZaEkuMaBuES0i4ULYSskOksjW2Ionyxm05nOBqPcXB4iFsHhwjDMBUtkRKjkVyWCJcssDbKs1RKVpTUOqNbTVTqiJguuTmaCA/93l3uJBt1rDeEkNVC0ULIClEXtThbONOYjPDwCJMsXVbOtwZUF1j1et2SYnPvuDAJmUUW8JOiyb2q2ATHspz250XIWYOihZAVoi5qeW5LahURAMJZaPUvqJkxMCzYaqCo7frC+IZ2VedPG657dZ1v2lcbz6JLVitCusLpyW0k5JxQSGdesp86gbYqurXGdu60YpujS7w1pSr7SBeTdfshhCwPRQshK6AqADNf0Gpt3NzcilAH3e1UJYLOErZUahjEiPqc1HNVopBBuIS0D0ULIceEa6F0oWe92BbOOlYUl4votMa0VAmFRXBZZlzH1bo5+hxP6/Mj5CxB0ULIMaEulLaaIKZj+qJdZ7E11S+pGu+0WlqaZgit2u1lq/dCwULI6uGGiYSskIceeihf1JZx8zQpmKbSdME/yZ2dXXzgAx9wZj7ZaMP6sUgfdA0RsjT/f3v3lqM2DABQdCp1Scz+FzCb6hcSRSGJA4TczDmfpTzGUus7Tmx8YSJ8wtQW3bmJcCpunjlLZM17Hn2V4NFlraUQ3BI6a9772dcEtnF5CABIEC3wRo8uE8z9Zr7m/ohXnktSdHvj6x5jMLK13KUheB/RAh+w9qyPuXNJRl9ryZEn2+tne+X27zU37L5ruzmwjWiBN5uKgTVH0c/dZDu1DfiZifWIu4amLN3HMhJwSzuslu5VmXqPI4cfnIFogYO634I8d2Puo6BZGyOllYSlS2tLf2fr+1S2iMOZ2fIMO7lcLl9fHwyEuZWDygrB9/f38HOmfu6l3Vuju7Aq4wchtjzDbza3cnNmS18UOfLYmseB97HSAju7PXBuL7fvd39PSG2VYOqguXvPju/I82vjBxFWWuAIrpPc/aWOrRPtmucd/fuFRqz5/HvclCxWYH9WWuCDbsPlfjVk5Aj+66Wfkcm6Pum+Kvq2vEZ97CBg8h+iaIEPe3S5YyRiRm4sPdOEO3Jj7tozV5a+5+lM4wcHJlrgqOYm31de0jnrhLtlV9GSqWg86/jBAU3+p+ecFjiAuclwNFge/SJy5gn35+dn8nya63H/93/+yNy5OGceP6iw0gIH8+pVg9822U6N3zOrVb9t/OAgXB6CotGIMcn+z/hBkmiButsJ2OT6nOtYGkc4JNECACS4ERcA6BItAECCaAEAEkQLAJAgWgCABNECACSIFgAgQbQAAAmiBQBIEC0AQIJoAQASRAsAkCBaAIAE0QIAJIgWACBBtAAACaIFAEgQLQBAgmgBABJECwCQIFoAgATRAgAkiBYAIEG0AAAJogUASBAtAECCaAEAEkQLAJAgWgCABNECACSIFgAgQbQAAAmiBQBIEC0AQIJoAQASRAsAkCBaAIAE0QIAJIgWACBBtAAACaIFAEgQLQBAgmgBABJECwCQIFoAgATRAgAkiBYAIEG0AAAJogUASBAtAECCaAEAEkQLAJAgWgCABNECACSIFgAgQbQAAAmiBQBIEC0AQIJoAQASRAsAkCBaAIAE0QIAJIgWACBBtAAACaIFAEiJ0sVUAAABhUlEQVQQLQBAgmgBABJECwCQIFoAgATRAgAkiBYAIEG0AAAJogUASBAtAECCaAEAEkQLAJAgWgCABNECACSIFgAgQbQAAAmiBQBIEC0AQIJoAQASRAsAkCBaAIAE0QIAJIgWACBBtAAACaIFAEgQLQBAgmgBABJECwCQIFoAgATRAgAkiBYAIEG0AAAJogUASBAtAECCaAEAEkQLAJAgWgCABNECACSIFgAgQbQAAAmiBQBIEC0AQIJoAQASRAsAkCBaAIAE0QIAJIgWACBBtAAACaIFAEgQLQBAgmgBABJECwCQIFoAgATRAgAkiBYAIEG0AAAJogUASBAtAECCaAEAEkQLAJAgWgCABNECACSIFgAgQbQAAAmiBQBIEC0AQIJoAQASRAsAkCBaAIAE0QIAJIgWACBBtAAACaIFAEgQLQBAgmgBABJECwCQIFoAgATRAgAkiBYAIEG0AAAJfxce/7PT5wAAmGWlBQBIEC0AQIJoAQASRAsAkCBaAIAE0QIAJPwDmZ0st+Msx+EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "140630596295504",
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\");\n",
    "plt.axis(\"off\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "t93aVotMfBMB"
   },
   "source": [
    "## 5. Rotate the object, modify the material properties or light properties\n",
    "\n",
    "We can also change many other settings in the rendering pipeline. Here we:\n",
    "\n",
    "- change the **viewing angle** of the camera\n",
    "- change the **position** of the point light\n",
    "- change the **material reflectance** properties of the mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "4mYXYziefBMB"
   },
   "outputs": [],
   "source": [
    "# Rotate the object by increasing the elevation and azimuth angles\n",
    "R, T = look_at_view_transform(dist=2.7, elev=10, azim=-150)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Move the light location so the light is shining on the cow's face.  \n",
    "lights.location = torch.tensor([[2.0, 2.0, -2.0]], device=device)\n",
    "\n",
    "# Change specular color to green and change material shininess \n",
    "materials = Materials(\n",
    "    device=device,\n",
    "    specular_color=[[0.0, 1.0, 0.0]],\n",
    "    shininess=10.0\n",
    ")\n",
    "\n",
    "# Re render the mesh, passing in keyword arguments for the modified components.\n",
    "images = renderer(mesh, lights=lights, materials=materials, cameras=cameras)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 592
    },
    "colab_type": "code",
    "id": "rHIxIfh5fBME",
    "outputId": "1ca2d337-2983-478f-b3c9-d64b84ba1a31"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kapHlVQER7PtdpoUIWW8oWsiWJ7cphCRNgQLQ0FUaCAqQbbqejJXTxVYJpJvi\nv/33D9YxSSc9dM3LrzGeGHutXr+HJE2ATmZKjO36OPU8XQsSz3gbChXUJtzji0v4ytf/tTU1BABP\neMITjGhR7jUEd999NwCgO9U1zz7IgwtEpnVxxtWaGgq8LMF4qlMbno+WihvU19VOabaIIC8K9Gwp\ndG8wwMCmffK8sEbb0ogr8TGNwK1A6perQttuvKX5N0vTOrVU/TnaLzuaLqJgIWSjoGghW57yt/FM\nBEqpqgwWAM7as7fqflt6WapVmxPgttvvwMGHDqEyhNjtZ551Jp52xdO8efj2O25HUeT4tkufUgsT\nZ26LeDSbQgXucQp33XEHvnXwYH1eZF5O0gSdrFNP2goY9Af48pe/bC+jnMvG4iz1G2kRJ9VaSQh7\ntrRFTSITuzfhO0eKs2ZQuTilHcsgz9EfDLDS76NvPSx5ntfHrnNhTlEU6NmmdlmaIk0SZJWROxRd\nLZEXGSscQwhZAxQtZMvzsh/7SQDAX//ZnyBNk7prapmCKOMsZTl0alrjSifDb77t7XV0BXVq6Oxz\nzq4WRISdzv/oA3+E3bt3YQp+rxVR8I25bjTDi7I45cP2vFu+9vU6NYSIsAHwrW99C2Ey5Lbbbquq\nh3qDQetyAS7lEEITrlc9VC0q6ZRCVU1Pwv4k4k/sLamjsvV+eZ/yamWflbwoKvFSFGXH2/HSP6tF\nbNSm1x9gKe2h2+mg2+kgS+OVTjH2/S7Nt4RsFDTiktOGwWBgu6Xm6PcHOPfss207/DotVDWeU8CB\nB+7HsYUTXkqofD37Oc+uq4YU8LV//Rr237MfU9NdiO0lAjjiRbVV5DhRFrcZnRU6/3LL17zqJLj7\nLYcPH8ZDDz1UfV5aXsIHP/jB6mLbt28HIksKuBGWKrqCpp+lOkycsudSZFTjcFvZK+ehwpuFIxCk\naeKUGLvN44yAMG347WetN0ywuM+ZFwX6g0HdQTc69uazEEI2FooWctrwitf8eyyv9HDs+AIOPXIY\nAkFRxllsp1zYxRElU/jUZz7bFCxWQMzOzVbvB8UAf/jePwQU8NIXXwWVJn65c4TWOdyhPxhgaWlp\n5HOtrKzgm9/8JvI8x+LSIj70oQ/hwIEDZqcC9uzZbTw2EtzCie5UMqA0wiIUK3VqCOJ7QaIPo+rr\nleOIHFTtSNO0iswopzg5FDKnkkJrr4tu4Jj2DzYNfljiTMgGw/QQOa3QWuPeg4fwshc+364yLHWa\np6waUgBmp/GRv/5EXS0UpIcqDwwEn/nMZ4xIUMDlT70kSPN4iZZgNEMm4STBrbfdjsXl5ZHPdPTo\nUXzmM5/BwQcO4sC9B/CVmzIy5EAAACAASURBVL9SrX48PzeHvWfuBcrOwG4aKhiKNzeHURbntMY6\nRF76R+CHhtqqhZrbEqWgI9cvozBKnbp4hpcGC6NJEV8OIeTUQNFCTit+/A0/i99806/ZFvCF9Uxa\nsZKWZdCCG264wVsQMayE+dKXvoQXv+TFuP3O2/H+97+/muBn57ZVqZjVTa7+0RrALV//NxR5Edvd\n4I477sCBew9geXG5EiwAsH37HPbuPbPdhOuJk2bVULU/Gm2I4aaEHOdxOM+7n60HJklTSFEgSRSU\nGJ2VJonXar/Fi7xBKCSJWULA2RT18dDHQsipgaKFnHacuWtH5YsQlNVCTpQlSXDDDabyxvWtVJ8B\n3PLVW/Drv/7ruOOuO6qS6vPPOxc7d+1qTqtDZlq/cqf+0Fvp4e57D7Q/hPjvtdZYWlzyQxEC7Jyf\nx549uyGLdZppaJalsU+qSwrC/JJfJNQw5LoLJyIoD/aEQP0+TROzVpAASontWpsY30uuGobjjSRN\nbLlzo4OvH01iSoiQUwc9LeS043ue/SxTgVKmeFTdSA4AMN3FF2+8KW6Ahdmmtcat37gVedn7RAHP\n+57vxPT01Mj7j552FTppgkcPH1ntozV40nnnAUURz6tILUK8JYTc/5cq3OI0mHMOdozGzgbvSihb\n/I/KqFjzrlI2wpEkSLMUWVq/lDp1/2RlWYapqY5ZuyoUWfbRKFgIObUw0kJOPwSQsvkbaj+LmVwF\nBx88hCOPHTV+lpZIS4X9nKYJrr7q+4A892+0Fj+L9XcMBoNxDh162Sdf8CQjWiJ2Fq96qIqi+CXH\ngNsPRZzjXNq6247ZQTawwSQqgYZGAoVUJciyFN1uhkJr5IVGfzDYcFNulqaYm53BVKcTfQSmgwh5\nfKBoIacdXrrDKXUGzMR5/733+GJl1MSrgG63i7ntc4Buc48MG5B/tAB49Mhj7YMf9jnY/sRzzwnK\nnR3REagYV5d4ptuqzHmsdi9NL2513xYRExGCiVIQDSC1okV3bKdaXa3wvFEopTAzPYW52Rlb1VQP\nkJEVQh5fKFrIacWNn/9UmfOoU0OlGVcBSFP80w03NiddN9ISETPfeeUz0el2o/1Q2pDYe7ui8YOP\nPII8L04qyrJr107s2b0bYqukopaUwF9bSi5xIix+l9whpcdlZU1sFWdRo6tuvN0KKlFQWqOTpkAX\nlWApigJaBIWNIK03nSzFjrltmJ2eMgZgOyYKFkIefyhayGmFApBLvdZQWS1U9VVRwN9/8Z/Hj7TY\nfdf80Euh3Mk8Yr6NTvWxjUmCEycWcGJhYfixUdVT84zLn4bZmRkT/fHKmYPITtVvxYkSlb1YILVY\naa1BsltjYqUk7IbrCZR2MaOUQpqmEABTnU7dM0YBy8umO+560slS7Nw+h907542XBeDih4RsIiha\nyGlFlQIpO9AqNzUk0EUOlYSt5x0iQuaCJ52HSy57KmRlJbzTmvwsUGbdmzUjQLfTwbd/+9ORRDrx\n+l6WyIjcdX0a6aG2HFHYbC2mQ6Sl10mkRb7dbfy7pooHHfdeCqIFy72+HfLJi5csTbFj+xzOOXNP\npb8YXSFkc0HRQk4vSnNp2VTO8bIAwKGjR7G4tFSbcDEk2mK3vfD5z4XkeatEaR8LGspB7BinOh1k\naYpcry0F8oSzz8JTLnpyHWUJvCreDd3t3kKJvmCpvrfGc0hzMcHWDrhD+s1V13IjM0ZAJgA6WWYq\nitLU3E6hirSsWPGyFkqBeMb8HJ549pnVV0OzLSGbD5Y8E0IIIWQiYKSFnDZ8+XOf9FvE28ohqHLF\nZeDA/ntGR1gckjTB85773UBR92sZJ9TS7IvivNMFFldWkGUZ8kFLR9xhfhYFPP2yS7Fzfh6S69a0\nkARRF28VZ9Tvy5RQtQiz09+l6sESRk6qz20hlZYvNmxIV362bfwzlSBJOkjTBJ0sQ2p9J2JXZl4t\nnSzFrh3zAIBzztwDMCVEyKaGooWcNqjSfIvSyyK+QEkUvvXAA3EDbqx6yPpZ9u7ZPbwWOLpQYfOY\n+l4KWgQrK73VP6QA27dtw3Oe/R1IBY7QaDHhBurHX8W5rhxyV3Y2As9VLUHKJ0wXtfpsg2u4m4dU\nGiVKoWsFS5naSZMEj51YwPKY31kny7Bj+zacs3e3LWumWCFkEqBoIacdVUO5srGpqrbitrvuMgeN\nE21RwL9/3U8iCVufxGyvEcHQilI4Z+9eG2kJ+pGMEXG5/NJLcN6Tzg/WQPIrg9xzKoHiipSqcghO\nc7ng4ds2hVVErgDxdEo0NOPva2iX2iSdJgmmp7rmfZqg28lw9MQiji8uQUdKz5NEYWZqCjvn57Bj\nbg7v+L3fbz4DIWRTQ9FCThtqQ2lLpCXLsLyyMrzU2dl22SUX4xlPfxqkyFfXT8UZUXST1piancGO\n+e04fPixVV272+3iu57zHZjJMmBQ1KkccfWTI6Sq+5ZpIASVQ9KMsrQ+yxB156qV0IgrpdCJ5Jga\nAsh9rypTXtcal6emutg2M43Dx47bdJFAqQSz01PYvXMeO+a24Xf+0/81zldJCNmEULSQ04cqzOBW\nqNimcgoQXeCRw4fjqaHgc5om+Jmffj2SovCjEBL8HEqLAUYEeVGsSQdd8m0X4YpvfwZgFx0Mh9WW\nmvJESlkp5DaWsyeq1lG3RE3C/ZVItB1yvVND4RKmjcSLtJhDVHVkmiSYnZrCTHcKO7fPIdcF0iRB\n17biZ68VQiYfihay5bnxc58EXFtHZcD150XV6eB42NCtJXjw4hf+OzzlKRcBvV67QpGIn2UsFPac\ncQZmp6exmiUTZ2dncPWLXoht3SlIf0ib+0h6CHBTQM5aQ55wKYenhqS6hkVcXCLHSFuDOqdpS+uD\nqCpao5RCt9tB1zZ2oVeFkK0DS57JlqfOjNQmXO+/fOttKQYDdLKsvbGcZc/uXfiZn3490A96g3gT\nfbh9NQMWbJvfjksvfsqqTvvuZ1+JZz3rmXUlU+P+gQnXqxSCFSt131vfiBuOse251PhKTYlj6I14\nYdxrhhGsMuoSDYvV16RgIWRrQdFCTgNc2SLVHOiacKGAAoJjJ44PvVKapXjDa/9XI26C/EtTqNQp\nlfHTRYaiP8A555yDJBkStXCueeH55+Hl1/wQkkbL/sj78DJVaqjeEBcsUp8Q9fwEvhVE7ul9LvNy\n0hxr7GQvc1QadWMdeo1woWAhZOtB0UK2NDd+/pPV+8qEm9g3QUQl63ahkuF/JV70gufh+c/7HsCu\nMhyNQMTeo8xLNb0eXrDB/sySBN/57CvxhDPPar+e5QlnnYUfe+W1OGvPnnrBxmGLGjZetcHWjbSE\nKix6yYYICR/PETptKOWLIM/j4lwnaoxWjol3xFgIIRMPRQvZ2niVM+Ks6mxxJ0qd4/xzz4le5umX\nPxVPv/yp+A9v+CmoPGit30hdRPbFxjQMrXHGGWfge77r2eh04tYzpYCzzzoTr7r25XjmM64A8pZG\ndOVtneZx/sv1tgQipvz/tvG2RlvKj8qvAhrWr2VoDmqECAnOZZSFkK0Jjbhky+NNwMFv7HWKCFAi\nuOypF+POe/d7TdeueNpl+LU3/iIAYKbbCdJCQyIaQ/wdZQ+2YeJlqpPhRVd9H/bvP4Bv3HYniryA\n2EDKzNQ0zjvnXHz/Vd+H5z772dZ4K03B1PZyvxhnRaEq0lKmh4IU0egsV6xkOWa6DSIq1WcJlKQE\nx9vBNEqh2/q6EEK2EhQtZMty4+c/Zd/VU24jO1MhgBa87KVX4+Ejh3H7XXdhbvs2PO+534mXvORF\n2G1bvUPr2JKBo2f1VZtxgUQEe3bvxs+94afwhX/4Ir75zf3opOav7PnnnYcrv/2ZOO/cc4HeoBm9\ncYMXle9Dosc1Iy3+gP2hB08fEwnDhEPbvjAlVB0XK4sewpBOuoSQyYeihWxpxPWyKFs5FMPOc+ec\ncw5+/g0/hcOPHcH09m0468w96HZSSKTDqneTcbaPbcaVKhSjigJn7N6Na3/kh9FbWISyqivrTgGF\nQAbN9XbCvjHivsKoSqVl6m2eMHGDSrGokXIPjAiMsIw5EkSJRlBC8REGYMLxjStqCCETDUUL2eLU\noYW2fq5u9CXVGrt378Ku3WdAJfYcHTeBBgGJ1XlaAsI5XMr0kggwMJGUbnfKjAWA5DlQRPwxYepq\nZHrIb9cfjlPiHyJ47W2bm0cSVBwN64QL97hxr08I2QrQiEu2JDd9/lOeH8P1rqB1rjNHKi1QYsWK\nmzIZFjlZzT5EBMQoRExlkC7H1XI9+150bbx1wix+5AWR1FBDjNnIy9jprUgn3EboxznUO9zvvjsy\nghUVMmbnvuveOO6ACSETBEUL2bpU86OdeG1qqO2X9jEvOfwEu31UUU1j32oEzDDca2nHxuIuguiq\nl2BwvmZoiodVD7HR5Vb5YaVqzFLvG1ppBL8hXTiyaPkzIWSrQNFCCCGEkImAnhayxRlWMeQQpina\nLzd6W8zbMuKyrfca5kfxtrn+lWZKqHHN6rM0sjfem7DcebVrDsXWC5LSv+JGR1zTbRidCa89tPyI\nRhdCtjCMtJAtx01fMKXO9ZwurSbcBhL5EJ/Vmx/bTLmhj7chOIJJNpIuGjn6sEpInJSQ00ROQm3j\nXqLKDbm9WoIbtN5/vOUG/FWaW3q4NISO07J/FG2CkRCyJWCkhWxh7ESbNLY251j3l/lwwmuxSVSb\n3WhH+NmLjvgekcb540RUhm0Pq4Uax4VelnpbWeoce3yERlwv8CGBEHG2VceFkZKWqMwoKr+KI2La\nFllksIWQLQkjLWRLUs7ROjRtVpNoGQJxZvgwdWK3iYat3CmrdzRQFGY15TwHigGQD6By8xP5wG7z\n90dfRW5f2rlHRIA0Uj9t4iSyL/xinA+VlokcF5MwzcBQGAVxREXVVyVsQdwyqGGVWuH9wutGdu+7\n7j+2XYQQMqEw0kK2FGVqyKyfo9tDJGFmwu2pX2hAaVs3XAAoUPXPF+3UE2t7iq76p5hjgutqR2y4\nAygjBZKYhROhIDDvoctj7PtyeNoOWqNF1LgRlZYojUuwzV9aQOptQ+Iw5pHcTrYjIisSRmaUc41Y\n5GatMNxCyFaDooVsMRREBNqW94pn+PTTGiIaogsjTEQDqnw/AHQOSF7vE7MYoSrFkCtCKvFSXdoe\n6/ZJcXaUYqQ6R9mgZ7kKdC1kgMS+TwFJrKgxE7/Y40SUGZ4OxAzce0eICZbyuwkES3VC9RxtaRnl\nK5/KZOt8bo2iBCZdUSfXln/85jKEkAmBooVsGW7+wqcrf4agXiOo8q/YKIkUA0jeB9QAwMARKQMn\nslKECqC8iP/ZTYu4GRK4wsFmotxTGmmdMIKinO2OcClFi0rrz5IaESMJRCsjYkSZ91USqI3aqIvw\naC945IqfUev/hNGUQHi0nu70cFHl+ZFW/uX3Gqadwn1tfhdCyMRC0UK2FHUTNTvR6sJETACI7kOK\nZUCvAOgbwYLCeYlJCykTJqnEjgpFS03dcl/83a5ggSNOqveBf6NK/zgppeq9I2CqQVkho+zP6lUK\nm8zsQ9pa2dPqZwmG7n4YFiTxqoIaLfklMOcOuUhrUznnZ/hMyj2XYoWQrQpFC9kS3PyFT5ukhti0\nT7ECFD3IYAXIl81BxbKJpqgCSAogqQUKEgkiA64/wyVSShTTNKVjNWYudbMnzirLVSpHO58r4SLw\nLDpuREZbr4t200opoDLzSjITmVGpnyPzDSz1sL1Qyxgt/MVRb61rBo3ochvbWX7/lfBxdrSVRRNC\ntjQULWTLICKQIoesHIf0jhuxkvcgZaRFFSYIkdiW/uVs3Nb5XTkCQzU3m4sGp4T2ldZIS/BeRplr\nw/PKaIwVNA1PS+mTSYxYSTIg7Vghk9ZPIsrr41LrtaanZah2CSMqzZ2Rc8ortpRMe9ET71tuGYME\nhuBhAyaETCKqsbKrD51sZNNz8xc+bcy3/WXIiUdRrByFFH2IFDbNYyfgBJBEzCstxUs5d0vtj3Xe\nNxwh7jYvZVJ/8PZJ0+siblTFDXhoKxxsgRJE7E9AbKSl+utqj5XCHmN/ihZnsUTXL5xAVApJUujE\n/K6ikUGrFFol0KKM5tGCQgRaa+hCo9AaWtufRQEd9JppFQahaIgdP+oanlFFxSM5I28M7Hvnu0ec\nQwjZhET/sjPSQiYf0ZClo8CxRyC9BQhylM5XQcSb0tJErk2hD4usNMfi/3QDOn50JUgdlYLETQ0N\njbREtnnjcFZK1LBVUHlQQuVEYWz6qK5OCj0tYUgpeOYwUuKZZMeJgIhv3nUXUPTMLKNgeIWQrQxF\nC5l45NhDwPGHIfkAGkXl9wx7sRitUCU+nPlfnN4tTYPKWOHGNl9L7H14Xri9IXIilUmx+zSuH+aq\nbOM6rZ3zFEQl9pUBSepUJqnm2kQx2tI3VSRlzMoh72MkxRSrJnJPrwQRc0OEbFUoWshEc/NH3gtZ\nOAIpCmPALSctN8riRljKCmKnd1slckohoxxPR+OO0tQN69QPpIroNDw2yjHLxBkrEiTwVmESEdun\nxrmxFS/iiheVBLmtwGcSSwWpMXRDIzqDpigJjbxDz19NRIYQMolQtJCJRk48arvfSiBAnF/4q59i\ni2scz4qSuIBpzHstIiZMMY2hX9p8vzLWUeMQ+E7CXaHCEbM0QWXGRd8ouyS10ZfMqTwSf2ixXilD\nPSpoOSCSPvLKpsObEEJORyhayMRy8/Vvr+wW9TpDpSApoyZOKXPii5Rqn2O+NTQFSrvIaBEWa9Eb\n4Tkx3RL6cca9T+hRQS1gxDUWi12SoDy+LJV2vS9JGi85HqklxhAbrRGcFkVUVYBRyBByOsAFEwkh\nhBAyETDSQiYWCf4HN/BQRlBsmTNg30dKnF3zbWnKleBOmw3PX7uK4z1PS/m8brqoPKZsaAfreVG2\n+27SMf1e0o45JbGel6pCyFYBYYyKodBI6x7YiLK0wQgLIacTFC1kIrn5+rcDcHqRKHG8KiYFJEn5\n05xTCRVE+rA4XpZQsIz2n6Aay5oZNS+3VRh5m4a7cCuB0jJ4aYghsf1gpFowEhgYwZJ1zcfMCpgk\ntUIj0vm2refcOE3jGuXSwYVUQ/nAOZiLJhKyxaBoIROJ2PbybpzFj7JYj0oiXvVQaNb1l7BpKoOh\nU17bhOhM+quNiIzkJK/l+3Dr7y3md3G3i+havEhhFpgEAN0F0sKImDRzMs5hCbNzeRUIilhEpoq8\nhNcYqXz87QzEELKloGghE8fN17/NSWO0RFmikRbffFtNiq1RlpNkFSbZsc5rqWhqljA1D/PWN3JT\naa6q8vy5bTZkU2kEPTAfdQGkuRExWde8wqhL2zO0rlPkbGgTHbHITSwSQ9VCyJaCooVMHOWkKuJH\nWbyqoKT0tDhVQUqaURblTeHeXdq0w7jpoqEPsBaCsM1qxyFtkR9x9se0SuOiTgxGi604KupXNuVH\nXdayuKGE0ZngfWvVtHNg6a0hhGwZKFrIRHHT9W/z19VxoiywfViqNYZSAVJUaw/56aHA1xKkiaLz\nNAKBU/pOoyMdkVqCc25QxhwXUWtFqgURS61Rp3xqIeOLlZYoS3RI9g+iGNi0kX11poC0CyRJHXVp\nM+RWO5wDXGNuI3DSciFvszlv3zvfM9a3RAiZDChayATi1Ay5ptsEkFTqV1k5VC+n02wm5wmWFtNt\nWyWLOJ4Yb96V+hz3Z3moshctG81qewG3n4wOBI0K/TfO2KRdW4SrNIu3sVk5hOblxkSMWJGeibxI\nAWTapovsPzOtvVQCwVJ9Z7H0kOOHUU7YTDUvQwjZelC0kInBj7IMESwZ6s9uKsEVLHBSRW4VkUM1\nt6tgjxshcSfNYYLFLWSRIJaS2FWdk1LABGLFTQlFMi1D00QRP4sfaUFgyK2Vi4wTLWrcWAN536aM\ntBN16bSni9xy6SqyEq7o7H7RQ67hRa2YGiJkq0HRQiaHUqxAoJVAJ2LTQFa4ZPZ9KpWQMesMOekc\nuKXP9YWjCRFXrLipm5hYKSM2EcEiatQkKs7Y/M9+9CA2YqeM272H1NVVdWQqVvDkSaKo36W+bCSc\n05buKfLa6yIF0Jm26aK0eXhjzaBYuMSJwsAx3KqWgUQrjQghkw5FC5kIbrr+bdXUq0Uc30odYSlF\nDBJAUkewRARBKT7CWIIXAwmFCoLJOhQrLg2/S+w+qEVDMG/XAijW7C64Rktap/SxiHhFQ2Z7KWUk\nvFj7eL0tw/RFOW5d2JvbqEtXA9l0LVxc/8mwvI67q6oOCoVOy3mEkC0FRQuZCBppISfCUiiNvBig\n0AUAhSRJkCQJkCjfC2J/K68WUGxIijZhER3RyDmxjsq0X7cKYJTpo3I1Z+Vsc+4XxoSChE+d1hEE\ngkWciit/IFUV1tCFpFv2tFbxlKdpoHBUk6CuLvIEoKq/q3HWEYpqHH/jvt999+jrEEImCooWsqm5\n6fq3AXZi1aX3Qgm0TQH1ih4WFhew1F9CoQpk013Mzs9iujONNEm9X8pj/hUZISqajClWQgESuW4Z\n8fAEixNlaaaxImOU4DP8NJpY1VKmhryIiyti3MyPe7w7zjVjoy6DFWcAU/VSAK5QiQkXzwSt/G1h\nuogQsqWhaCGbGi+V4XhZdKKxuLKIQ48ewqNHHsHSYBkqU9i2Yxt26T04Iz0DM9kMklK4IBAskf4s\n4cTvTpa1KTey3/WtVJNu8BzBh9IIDPgRlvI4LRq60CgGBXSuIYUAWkHZMJGSpHrv3qPyrYgjOqpU\nkY3LlN+p41epBIxIfbHyIlEvTPx78KMsgeDQBZD3avWkrDG3TBd5LftLQRfUO4f3UI03hJAtDEUL\n2bTcdP3boKtJsy5x1qlgsbeI/Qf24/6DB7DcX4FONdKpDCuyAjWdIJ1OkU6lmMqmoBIzocXESnQu\nlqBvS8tk7KZ2okKl2uee6JdJh2PRWiMf5Oiv9NBb6aG/3EfeLyCFQCFBJzHRiU7WRTfrIksyKCRu\nWKQSH1WURcTd7QynjML4qaEwXVQbeiNEBUTLZ9gOutK3+61o6UzZsmg3itISYopFXSLseydTQ4Rs\nRShayKbkxve/FXB+4XbTQiv5CvbfezfuufceLPYXoZWGZECCAXSq0TnexczcLOZ2zKGDLhI4osWK\ni/q6kZkx2lfF3d80f7Q3X20ppa5DHFUkpCg0eisrWFpYxOKJRSwtLqG31MOgl0MKQYIE3WwKADA7\nPYtts9swO70N3awLZQWAG2XxPC2OGHFLrsX5jiuB40VhHC/KMPOtu70t4lL9tBEXN4rSUU5l0bCo\niQ1rjeN7IYRsOShayCZFQWtdpSu00jY1pHHf/ffh3gMHcGLpBLTSQGbmVl0AeqWHxYVFLC0tIe/n\nkBmpSp7dCIPr46i9Lg4No0f7LtcHW4kUqV8SqoNym7bvtUAXBVaWVnD06FEcPfIYjh89jqWFZfRX\n+igGBVAIEqToZCbSMju9DTvmd0LvEGzfth2dTjcaaREnJeToJPs1NPfXIsf3wniio00vDNveEDIa\nGPT847ozTi+XeK+bqo/LuIZdQsiWIhnjGEIIIYSQxx1GWsimpKwW0jYuoGEMuCcWF3DPPftx7NjR\nquzZjWjoQqO33EN/pQ9dCKRwAhzKiXSUb0oi3oyo+dSLsDTLh/3oinM/7R9TrQWkzZiXFpdx5NHD\nePSRR3H0sWNYWVzGoD9AMTAmXCkEShR6MNGJ3lLfpI1yE4GZ25YY07HU9/HWaPL8K87Tu4ZdJ6fk\nbquectzAxqgy6Oo7K8zPvGcOSNJ6lehygFUTufB6EQOR3UY/CyFbF4oWsum44X2/U4sWZfraayUo\npMC9B+7B4cNHoLXUDdy00yhOAMkB5IAMBJLbhnOB9dYz0WLIT4m4XiKpoYZPxUkPQSQiWuz2QtBb\n6eHYkWN45NCjOHL4CJYXl5APcls1ZNJH0EbgFGK+j6KvgRxIkWGqM41u1sVUd9p/NvvJqxZqLDfk\nVw3VFUdOJZH7rBuRkdEFkK8A/cS24ndSRPHOdc1rOCLmfb//nsq7IwL89C//6gYMmhDyeEDRQjYd\nIoDWpWipIy2Li0u4/777MegPTIv+KiJiZ9pyhedckOgUGTpArhqelsZkrAKvxpBmq/6pzsrJoUgZ\n5WnR5nM+KLB0fAmPPfIYjjxyBIsnFpAPcoi2Qse+6vfmGoUUWClWkKgTmJmawbbZOWRpF4lSZr3C\nYOUgcaNLQUfcOuLiNKBzIzTu94QNEi9amz4uSQqo1DSfGxqyaR/Ef/6v1yMvisqn854/fJ85Uylk\naYqf/skfxy9c9+Z1fgBCyKmAooVsOrTWNjWkq5JnrTUePfwojh49BhtsMJOyrsUKlHmfSoapdBqJ\nTiH9SPWO8/+eQAmFS0y8uObdNpGiHZESChpHZIkWDJYHOHF0AY89+hgWjy1i0DeCpUwdVWIlTDFp\nW220vILFhUUsLy1jZmoWSNNm9ZAz+EY1kX3pap9j4m0rdF4PwdLQHHa9ov6yKX+uWv2rluPjg/gf\nf/lX0VvBPm+vKPAH7/9j/MH7/xgigumpKfzbrbeuwwMRQk4FFC1kU/HF9/6fRrBoWy1UelpEsLK0\nYibywogVV6iU7fpVAqhcIS1SqFzZliDutO2IByV1BqJcITgmXBr2CbdrWxBJcT+XYsOJyKAMuFjR\nsbLYw8JjC1g6toR8xZQ2N6uLyuv5awWJjdSUHp48L5CopBYrrkfFESylFPF8K41+LlI/54gK5PWL\nughQDIxwSTPT7t+7h8QbzIV/NqPu4hyz0uvhoosu8vbt37//5B+FELIhULSQTYURLIKibNtfelpE\nI881oJXxrKhyQcRaWAgEKlVQeYKkSIxoqV23kbWGnPMh1XXUsKiLu+pxJJIyTNC4ggMi0AON/lIf\nywsr6C31oQfaidK4wkUi0Rp7jVxj0M+NaTcvoNMMCspP8aAem2fElSAVBF+8VM8+jLYmfKsRM955\n2hhzB5064qJKoeI2IxJzYAAAIABJREFUnwvvIfjTv/ir6tmU43FpEzLh9vLzhRdeiDN27sBXbvnq\nmA9ACDlVULSQTYWUURbRVdt+ACi0qaJJJDFRFtgJXdVVQabBm0KGjvGzDJSpvKmvXv+/tEdVBM0o\ni5ul8EVJxNcSMeO64qncpwcauq9R9HIjWAYj0k6OaCl/am2+r6Iwbf+1FjPHV4JK6vtXQqW+RNPH\nUqeGhv9BOd8bQgGxSrETHluuU5RNRVaEDs6rxqHQyTL0+v3hw24RKuHnx44ew4UXXoh77rlnxIMQ\nQk4l7NNCNhVaCwqt7WQs0IV5iQYSlWK6O4NEUlNVU9jqoLysGFJIJcN0No2pdBoyAPRATBXRQKAH\nAt0XSL9+r/t2f7/l1bPHl8eGn/v15/I+0of32YwB9f7ylcM+B6r3KASwJc5S1L6W0tvilzGb70xZ\ndaW1tgZeV4C0/fSFCoIGcyMJ02YR38/aESDv2wUW9XjjEMGZe3Y3Gus1G+0NuWtk/4UXXoh9173x\nZB+IELJOULSQTYUWQVFWDmnnVWhMdacwM7MNaZpB6WDCzwGlFaayacxv24FO2jUTfylWKqEgnpCR\nUrw4oka7IiYiaLT32RFGznXEllzr3AqrgUDnsC8jSlAAKVJ0kg5S2AhS4QgUHby3vhbjbRGb0VLI\nsgxJUrbxtxN0+R2WaTbnZ/W/0Ouy2ihL2+dRURYvTdayX9s0UZEHKqplbErhGZc/FUmSVNG6UWJl\n3NWr//jDf4GnPOUpYx1LCNlYmB4imwqt6wlWi9PGX4Dp6VnMb5/HiePHUQwKSFFUE2yaJJiemsGu\nnbswP7cDqcqMcPBrZ/zqHzh9y4JKIQk+e2kQOOka1KEJz7PiToquD6YcifWrpEmGqe40OtkUFHoQ\nXfhmYSfl5F/DvE2SFJ3OFLKsA6USe4zUHhUt0JFoS3ltv1poFVEWNz20WqPukJJyb3sxMMIl6zrX\nizSas2RZiiRRKIrIMIY82DjipSgKposI2QRQtJBNhRZdRwRstKXcnqUZts/vwBlLy1AqxcrKMrTW\ngFLodruY37ETu3btwezMNigk0IU789u3kXtKS5pDtUyuw8QJ4AqUekFEf3/tecmSDDPT2zAzPYul\nxSX0c103tCvFijTvrZRCmqaYnp7B9Mw0Oh0jWiCld9f5Dl3B4ozX7dOix42yRL6nkcetxpTrorVJ\nE+nC9m0ZghjhmqUZBoPcbBLxDLnR08aMtpRcdNGTcffdrC4i5PGCooVsKqpIi5PegC0qybIO5ud3\nQBcF0jTD4uIC8ryAShRmZ2dxxhm7sHPHTnSyrjXrBpNwGGUpCYpSqmgLhky2EoiTMErhmF894eIc\nKGJ8OjPTM5if34GVlRWIXsBgMIBoR7w4gykn4TRNMDU1jdnZWczMzCLrdKCUqoSJDrwcnnBpVA+5\n3hbnfuMIDRlDmLQ1tQ3NvLGLF31r9knj7fyde3Q6HXQ6GZZXxhj3GtFa8L3f/V34X669Bj/3xl/f\nuBsRQqJQtJBNhda6ai5XejNgIy2AwlR3Cmfs2o1udxpLS0sY5AMkSYKp6WnMzsyi25myptQ6HBLr\nRl/OnJ5/NJLGiM2RjTRNowLFObIt0uJ87nS62L59Hr1eD6JhnmswMFGkoCNtYqtpOp0uZrdtw9z2\n7ZiZnTWrPyvlR6mkLeJSj7O1kdxqIinjHl+KlXHPEQBFAeQDIO2OPD7LMsxv347jJxbqSzjRltVG\nVdp44NBDePjRw/gv73mnqQITU7kFgJ12Cdlg1Ii/yOvzt5yQMfnEu3/NlDc70RZYMeP2EimKAoPB\nwLZrB9I0tYbUelYU5//Lt63/QYfRlmC7RyRyItH9EQ9NeLyd9Hq9Ho4fP46jjx3F8ePHsLy8jMEg\nN2JNTDooSRN0OsbfMTMzg7m57di+fTtmZ2fR6XaNCdWLoMA34AaRlsqoq+vOw62MjIqsglWlixQw\nMw/M7mxZJNE5TgS33XU3brzla+swyNG88ed+uhLFbkl5Kbx/5Tf3nZJxELJFif4rQdFCNhUff9cb\nfTOuE2nxTaTGqFtHVIKGYtWbuEuj9oa0DKRNxMQiLe4FQ09L2/FeFMZ0x+33+1haWsLiwgKWlpbQ\n6/eR53kVLUjTFJ2uES3T0yY1ND09g263W0Vg3IogHUn/iJtyc75jr49MWzrHfe9+qRstZKbngLnd\nzs3aDhYcPXYcn/r8P6A/GKzDoEaTZRn+99e/pu7jU/Xksd9tofHG3/rtUzIWQrYYFC1kMviLd/yK\nU7JrO+Jqx4vhmkkr02oz2gE3FVNuHvZf9BDLhDcr+bfwq3u8e2O8aEv1G7qgKHL0en30eivoW9Fi\nGsYppGmCrNMBbHqo2+0iTU10qRRGOtYoLhAsbqTFFTHVINetLf86XW96O7Bt1xCFWd9Li8bf/dOX\n8K0HD53kTcfj2558AfYfuL/6/LOv+wkkKqk7D5fpIy140763npIxEbJFiP6FZ58WQgghhEwEjLSQ\nTcdH3/7L1s+infSQX/UCLxTv/gxpRkDct+2RlXC/3/LVTfkMj6ggEu8pAzbN9FHZW6UoChS6qL08\nYhZ3VLaJnFIJVKLMOkPlmZXnJ14ZFEZW3P4sq2acVFLbeW05t7bzZuZNpGWs6wi+9eAh/P0/fxl5\nno8seV4PXvvqa/Ghj/01AGCQ5zj7zL14+Q+82CaypPqzLpdc+I3feceGj4mQLUD0Ly+rh8imo0wF\nuRNsOXkDcaHSqOBBPBfUSOFE/looBIKkcUxEoMTEiXiyJCKeWsQPgCQxosRL70RGKq4RNCpaEFQU\nSSS1toYUzmqOd6/fahIack7Sad8XblMKO7Zvx9y2WRw7fmIVg1wdblXSf//Ix/CTr/wRM9Qkwf/8\n5GfxyOHD2LVzpz1GPJH6tjdfB6013vL2d23Y+AjZqjDSQjYlf/bbv2CqhLTvaYkJFXEFQygIIsT+\nk/e64sb2eZ+Gi5PmPeLdbN0DY8Zhz6sTLLrYFCuBz6e15FnilULr7WVZC6HhF/bzjrOBzvTo+Jg9\nv8gLfPmWr+Kb9xxYtzLnUbz21dd6n9MkMcLTChuziGX951VWbH3gQx9ll11C4jDSQiaHWFRAN9JD\nvgnX64/iXSt6B/vTKY92jnOzCkPiNeOLk5b0kTuputGhUMRUwqwRbfJXcnbLwmMG3NbS5nEFyzji\nZtgxQ6MkLeNJssjG4EJV+bMpDb/gvCfioYcfxfGFE6dEjf3xh/8CcMRLoTUKrZEo0xCwfIUi6rWv\nvpbLAxCyCihayKakThGZz266wxUHrmfAFS2heKj3hO/qyc+bEoNf6t1i6pg2qqRGRJggECf+PeK+\nFv9yflSlPKZcl2hYiihMDbUybqQlFglpO2bY+aOu4Z6QplaUOK2KG16VemBKKZy5Zzee/KTzcNtd\nd6PX7w+7QSvjLAMwCm27+Slbkq9UWelV/1m89tWvoHAhZEwoWsimxPRlQaOnSNiYLRQtXpyiRUCg\nISKknkwCVHmNSHSgcXzEdyIIFEmbQAkiRd4xkbLuNjOy+12MLViwysjIWo5ZzT3da6adZi16q1Cq\nB5KlKZ58wfk4sbiIA/c/gDy2iuKo4a1BsPzN334BP/j9L2xsryNi0mhzAyi89lVGuJRQwBASh54W\nsmn5ozf/TN1TRIfpovq4aK+WtqZyaIoIHxWJrgynVZggLk4QCJTG84QRm2ChQ4wQK9EKojGfJfpw\nQ7Iy60bbdfc8yb5Z200PH3kMX//G7bj/4IMn7W8ZN/IS+luG58RqVlbMokkf/vjfABQuhLBPC5ks\nRKxYcQRL+bnq5tpiNNWBn6M61kk76WBf2cxOa22a22l/4UbduIcdixaIXZ3avY97rmeIDaqjGs+j\nm88Tjjl8Zt94u06CBZF/NsZdYwhj/Mojo9JMScTsMuqmzukAdp+xE5df+m04+8y9domHtTNu5KXX\nC9NR4+XQpqenMT09jed917MBwIu8EEIMFC1k0/L6t/1hNa9VAiYUD+7iipHW9d7nFrETe2nR9uWI\nFytQYqIkFFWxVZbjgiPuPWlrwR/rvxIz3NbbI1+sjCEoxiWaUwt+DjtumA7YdZ5/gbaqp6aBqHqb\nJAn27t6Np116MXbtPANJsvH/5N14y1dbcpKtHzyefP55uPB88+wULoT4MD1EJoL3vukNps191a8l\nnoqpF65r7I2s9tzY0KRKFbXPrt66Pa1/adqbz7X5Wqr/jzTPa6+gcky547KalM96pIdGGXBLo22V\nGgrv2zYIf3tVtQMgLwrc962D+Nqtt+Ho8eMbWgqdZRl+4tprWvZGxl6ajIPv5cP/8xNY6fUAporI\n6QnTQ2RyqXq0WJNuWyomTL+0pVSqKEeZ3tEtkRFddzKtXrFUUlsEJ5JmikVUhu2rngPNMTZTQ7I6\nwYJ1FCGrue2oCqNSsJTiQoUHxO7nh3bcQE6Wpjj/3HNwyVMuxLbZmVUMtBzG+A+X5znE9hdqEvG2\nVGknP2z06pe/rHrPiAshBooWMhH8zLve76U7YqmYUsy0T/zBRB/xq7Sljrz9lYBp97n4Y9PRa4Xe\nFfGu15byqX0q3s/yuPILi5YxrRJXjAz1ngzZF2PUcd1Z59iwxnrIdWTYTiDrpLjgvPNwwXlPRLfT\naewfxmoriQ4/dnS8A92ytEi6zDX1UrgQQtFCJoiff/f1dUfRhlDQcfNrQ0AMEQItAmbky/G7SGiy\nDaJCcYESH5MWjI4alc8V1mCPY6CVEe9dMdKs09045vfWRqZqQGOIhjZBpZQVPwrbZmdw0QVPwp7d\nuzZ0XSJ35ecmzhfZiCA1x/SaV72iivRQuJDTHYoWMlH8wu99wBcuWryUjQRCQjtRjrDiZ5wIS2Xg\nbXmtJlrTEBot4mR0qsj57IqVUFiMEhmqJYLSFsFYrzl+mEl1zwV12bmKhHAa58ZdxbWfRVVSoLzK\nGTvm8eTzz8P01NS6PE6MBw4dao6zGuqQZQgij6OUwqt++Ac3aqiETBQULWTi+KX//CdelU+7IBlV\nhtysDoq+hkRZhkdr4tcfW5xoaawfVKbIKgMuhgiOYUbX1QiRoWmYEQyrLgq37blg9Mlt2SKpH8rt\nPhsjTVM84awzsXedoi0xv8vi0nLga1Gjv8dQXTnHzc7O4MorngYw2kJOcyhayETyH//gg366xBMY\n2giSiPiovC/WkxKWQa8+LdSW/tFeumiY4BlWIt34jDUYbdtY62VGdbId91j3nIZgablmI6pkZ3mb\n/mkIlpb7z87O4Owz96KTnXxT8Jjw0VpjkOfN8UdF5ZA/iGpNJeBpl16CuW3G70PhQk5XKFoIIYQQ\nMhFQtJCJ5df+nz813pZGFKXZZbZh2I1EPUamiRqlz7q6pldR1HL9aBopki5y/SrirkN0MgGW8Lf9\ncRvNrvb6J7sGUcyzsor0V72iMmpPS7DSMpRClqbYs+sMzK6h/HkctBYs27b8Y0emqj/j0Khbl31f\n+7IfqHYx2kJORyhayERz3X/5M/zGH34IhdYogjLkpp9kiGFXl6XJ8ZfXIXfoS3vm32GpJ9GBMBnG\nasTAuD6SYcevlphfo+264XY3NeRO0qssW/LEyZAHLvdMT01hqjtVFxetI0oBjzx6pGVvSw6tEpKh\nQ9ofXHNtI0JOHyhayJbgLf/1z6uOudoKmEK7YqPFewI3qlFX2rqFHGttcTLy3FFt7ocdvx7Hjftg\na20e1zaOcvueC6xgCW8QqdceJoDEN9+6fhY38hKOKU0TZFm6AWEnw133HvAHKpHni5ait5R4O9/B\na1/1CoDRFnIaQtFCtgz/x/s+Aow7tw6roFmvDrGrOW6jIyExViuC1vK9tI3dM962iBK3KmeYAFJo\npICa0RaFugDasLC0jF6vX0XE1pujR4/Z65bpnZgQcfaXbxtRq6ArsJhrvej5zwUoXMhpBkUL2VLs\ne99Hse99H43vjPk6Toa2eW5IE9focaOuvXE90Pzrj9tF92Tb9cdKm5XU4qUSk/bk5qJR3uXrKEtL\n59rIpuWVFTx65AiWlpdX8TCroz8YYGFx0Y456DUTPiPc/yZLEReIFfc4AOeefRbmt89t2PgJ2YxQ\ntJAtSVS4jCsmxqWtmdt6NGNr6+kRyzmtx/PEfsMfld5ZC9HSZkdBVn9GzgOHQkS5u1oiKwpRMy6s\nmHjk8BEcPPQQev3+STzMaO7af2+8R0vDuxPuF0fotHzhSuFHXvpiKKUYbSGnDVzlmWx59r3hRx/v\nIayeUZ3rx+xsf8rGM86xlWAJD7ATtAq2SyA0I9olSczvXUmS1N6VloEKgMGgjwcfegR33n0PDj70\nMHp2FeWNYnpqCq+65gfjESARP5pUHRJ+ByO+fBH82cf+Gnfceef6Dp6Qx5fof/QULeS0YqiAOdVC\nYLW0jW+120cds97fgwDYawWLRCInq72xPSxRqiFaQlxNsLKyggcOPYS7D9yHBw89jP5gsCFelpCX\nfN/zcfbevZFHK593DIUqkWgN/O/zzrv343985C/Xc+iEPJ5E/1IwPUROK1o9L6uNJKx2rluPlI5q\nuffJpHFiKbP1Fm57nQqh6KrN9qHG/U6sYFFVdMVv2a+c1BCgIAIsLi1h/33347a7vokHHnwI/cFg\n/Z5vBDf8yy0t4mhY9CQ4rvXPuN5x8UVPXvMYCZkUGGkhpzVjp47G9amcTJRireeGaRScgojROPfZ\nfcF4EaBo9KWsqGlO2GVayI2uJEncWa21xvETC7j3/m/h7gP34djx48jzwrn1qfkn7vnf/RxceP55\nww9a9Z+dY14O/vz3/e671zpUQjYL0b8JJ7/wBiETjBt12feGH43aLVZVabTWNA2CiWc14siv7B1N\nODkOu1/bvth35B4bM9xW9w0uGk0XxQekAC/CYsRK/HitNY4eO45v3nMABx54AMdPLKAoCv96Sp0S\n4fLlf/kqzt67BzMzYQde57tYq9CsTL1DIjKEbBEYaSGkhWgUZj2iIetx3MmwlmiMe84oH0zr4ofO\nQWvw25SlzWWExY20+LpHQUTj8JGjuOPue3Dv/d/C0vJyaz+WYf8GishYK0GX1xh27Nln7sVVz/se\nZNUijeOqxbWFz/a9k9EWMtHQiEvIWmkImLaIzDjEBEDbvLQKr+aqoyWrHWs4nnC8u5/UjJpUqZ+w\nMmiYIbdJXdZcpoYUlIqbb7XWeOzYMdx+19245777sbzSq0TFRomWcbn8kovxrCsurwzE60fzD4ai\nhUw4FC2ErBdDRcxGRUtGmWU3QriMc15rZMW9xtoGoBDvdhtWC7mVzktLK/jGnXfhzv33YmFx0RMl\nqxUt641SClc+42m47OJvGy6GvK/LGZ/r8RnlDRJ6W8hEQ08LIetFrAKpEjIbld4Zdd1h+0/KLxEw\nSqQ0rtESLopFa8qJV5zmcK2v5q16vT7uO3gQdx+4ryFYNgMigq98/VYoKFx28VNafCjiq7AwRxZ7\nj4g3iP4WsgWhaCFknWhbPiBq8F0Np7I6qLUx3JP8+481EMfFLG2G2/BQ61FJ4HWyjb0alxCTFrrv\ngYNYWFyKCpZTZbwdRlEU+Mq/3opCF7j8kouRKJsqqoZVCpn2CqoGq0y3ETKpsE8LIYQQQiYCRloI\n2WBaF3AMj2vrGbPakuaQcc28AdlZF0FEoLX2ggCNgbRetyWtEdvmeF7CFFC4flBZ5uxlUARYXF7B\nfQ88iEMPPYI8z8d/0FOMUgpFUeBrt96OPC9wxVMvRZqlwXc0qhQ6UjbOaAs5DaARl5BNzpVXXgkA\neN2rr8VznvXtZqMItAg+8+cfaJ6wisqmMy+9Ev9/e3fWK0t2nnf+WZHDHs9QLA5FmrIl0ZQoWbIk\nikUURbB1RQv0RdsGjL5oA7Y/gy3AcgMN1yUNyF/AN33RMOAB8uzWhcQm1SpRA2nZtFqUKImSOFYV\nT5065+w5h4jli5jetWJFZu4zZcau/6+wa+cQGZGZh6x4zrvetaIoCuVFoSKvfhe5iqJQUfgmtBQ9\n04U3OkinqTSdoMoQEoUV58rVb81FEV3WTXHLfKlvf/cNfeX3/0Dfe+st5XnR/06jz3Hd4aKnOaPI\nOaePfPhD+skf+1FNJxN7lCcbAzSztl797D97Gm8VeN5oxAWGpg4skvTTP/Hjzd8jfHXy/PTf/rvy\nvtBymSvPc+VFoTzPtVwuleeF8qJ6PC+C51X1VtQnd+/LwWKv8ob3UpZ5Fb5QpkzyXr4KL2lm/ZVO\nI2liO/NcE1bMb2f+Ce5VS/PHe1suc7319tt6dHKqomhDxdPuX3naU6C99/rq1/5Es9lcr/x0GUgn\nk4npA3rMSpnrfs/ATUBoAQbg7p3bGo1GVbpQHVskednzsl2AzfsyhJSLqqktnHrzu3q8jkK+TC7y\nWdnYqiKTz7xUFPJZJq0MLvGYjX2sfts+CCj2PSv6HTTdphpwnVQU5Xt58PCR3njznq42uGrzkzTj\nPs3A0u5T+tNvfFNXV1eSpE+98rL29/e7+a6zBI7vXTBvlGUMFeFGIrQAA/A3P/PpstpR3fdVZmny\nh7qzc9rw0oYW7xUstFYHm3qndbbxknwhKfNleFHWnhyrqkstnFC0uq+iCSA2ALiyltL87lmbpbkS\nohm1ns3nkqTvvXVfj07Ptj4zqPY4FZnvvvk9SdIXv/y7+l9e+bhZObfeaRtciqLQ9966r/PzCxW+\n0NnZuWaLRTPE9MEPvKT3vvvdT+nTALuD0ALsqI9+9KPNCfujP/5jVSaIAkal7Y+1J30v58srIvvM\nNcM+YWjxzSRCW8TxTdWlkC+yILzEx67fl3dt4Gl3VIcRhWHFBJS28rI6tNQr4taf1nuvi8tLSdL9\nBw8026DKsomnMQT0JK//1nde1+/+j/9fL//UT0T7aVPL5dWV/tvv/b5Ozs4kr85Vq//0G9/S3/rr\nf62szgE3CFOegR1Vn7C+//s+qNEoa4ZxfFBrMNe9Se/F/EQLtmXVyrLVFZOz6n5zBeXMKXP18+Wy\n+VlWNcZWr7ONslm9T9s029dQ67LO45mrrym0YjE58+MlnZ2f6+z8XA8fnWgZXQzxSb/3p+06VaA/\nqC5BEDBVpovLK927/7aurma6vJopz4uqebr8Obu40Fe/9sdMpcCNQ2gBdtynXnlZqltQmupI3c+S\nWEDNntmDWbPxbB1T1WhO1lXQUBgWbBNsGTCkLApAcRhxVbjJ7PNZKsD0h5TgJ/pnuVjo4aNTPXx0\n2ruY3C65bhj67f/637VYLMLxN1/uYzoem4s0phfD/cpX/1By0qu/8PNP5f0Du4DQAuygetbQ3Tt3\n9CMf/lDVw2KvoRPcDQUn+ni5D2fqLqYPJjHVuLsibf+wTVMl6VRP4udNhSVrqyr91RXb02KqLN7r\n/PJKj05P9ej09KlVWa5j1UUYn4b5YqHf/t2vmLVo2hC6v7+39vX5Fr4T4FkjtAA76M7tW7p1fKSf\n+dhP6fjoqB0aMpWW1OyR3knG8dImLrzZ/NhqS917kqyArA8Z9UUN3QaBJBwqysIhpsQ/hS90fnGh\n8/Pypyj612VZZV3gWPW8M/1DT+t4sa//+TfahfLMQnrhmi5rj3qtYwK7jEZcYAd99Mf/ig4ODvTK\nT/9ks9ipjyotVtiUa2spYUKxw0Th9GEXVFtUN/JWzSO+GSJSTzQKdxVMw+5MZ1YTjJp37KLfzfs1\nVRbzYZfLXGcXF7qopgk/q2rH0+5veZz9fe3rf6q/8sM/1DbiOsm5TOPRaLMKE5kFNwihBdhBL//k\nX9XtW7d05/ZxMDQUz/xp2x3MbdMDUi6Pb2bqRJopyN4H1RYnJ+9cs7q+q5JL2QuavjKxK7eK9q9E\nGOmu02KnPSdDS3Akr8ViqfPzi2bGUF9ocYk1WXa99yX21a/9SRVawu/h/e97r7713dfX74D1WnCD\nEFqAHfP5//hL+sBL71OWVdNVfTs01GHDi1lnRapO+vEqqj1Nm806L3YIyJc78GoDhVuzDovdYxxU\nlAgxSoSWNrykw5b3XrP5XGcXF5rPF81jN9XF5WU5DVthAPmxH/nhJrSsmqb96md/8Xm9VeCZI7QA\nO2YyGSurpre2a6ckKi22rmEXngsXS4nWQLHTn03FJBrTqdd5aWKDl1QPF7kwGKUkh37MmwlHmVwi\nuDQPmM9Y/lrmuU7PznVycqpF1e+RqqhowGEmDiHzxUJ702n9rCSn97z4LmVZpqIokoHlWU3dBraJ\nRlxgB7VrsbSVlM4J2KeGiepf9Wq3Cqov8WnMyaxQKzOtuFkyv11vRdWwkTqNs4lGXTvzKHp9cDsZ\nWNrp2s7WWqq1WRaLhR6dnurs4qJZl2Tj7zXoC3p6gaZvOf3HFQeObwfDQK5aeNjpxRfu9u7j1vER\n/Sy4cQgtwA5qZwa198PHE524zdr+5kFvg0z6HBZMf3ZRBaQeTgqmQLezh8L+GRfc1qqwEk5Z6g4N\n2RVzzS3vC13N5jo5PdXV1eoVcJ9nlaUNec/G1//8m+0dM+T3A3/x+3pf85G//KF1PdPA4BBaAADA\nIBBagB3WDv+Y3zJVFzuM1K6TG13F0Mv31lkqyZ4IJYaIutWQpkpih3jqakz0Ohe9LrXf+ohx1Ucq\nr+p8eXWls/OLYPG061ZVhtbr8vbDh+0d1773D77/pd7X/OBf6q/CAENFaAF2yK//P/8+WDhO9QnW\nt79l12yplsaNT8H2kWjCb/Bjtwv6WkyIaYZyFA7juDapJPpQugElXncl6HlJNODafpdanuc6v7jQ\nxeWlCn+9BeWGFlTs+10slvWjbXOPpOPjI02n6YXmysbdYX1mYB1CC7BjbB9L8BOtzxJWWmxfS7uf\npgk3NVs6dfBgITcbY5SutPT1s5gemCagdAKPuvuRCyo2wUwjX4aWi6srzeeL/ssY7JjHDUs2OHb2\n4dptPvC+93Zeuzed2rQJ3BiEFmAHxde18aai0qzJUldjmgsRReu0RFOfoyLL2r+E24sVygwTxVWS\n9NBQOEOoE1xZ9Jv6AAAgAElEQVSiIaKmYtNOJepOka4qDrPZXHmRrwwDj/vcdWyyn1Xrpzzesbr7\n+vAP/kDnsU987KfqVz7xsYFdwjotwA6Jp+TW/SnB4nH2tvedDOKTSSV1r8sOD3WuaeTq5VpMBcD5\n5r693b7IRA4X3g43Cx9wVWnFVQvwVv/SMl9qsVioKMJQt86zGBraJIw8rcDS7KeZOVQPE/lgvZba\nX/zgX6jfwRMfH9glhBZgx7RBxYdL+Cu83fS6JC6e6L0NMXH3Suqg0Wp0XskTXrkirllbzq6aWy3v\n76sl/SUbXBRWUOJ9B+vI1QvYmeBSfYaiKD/jqn6W59278jSqKav2EV4jyt4oVycej8c62N/X+cWF\n3vPiu8xrPKEFNw6hBdgR/99/+XfljXrROHUrKnGAaR5rfuqTtqnQNK53Mk+dQ30dOdrUUkYUr3DJ\n/7iCEoeVzuWLuhWY5pimx8dlrh0S29CzWlCu9jiBJQ4p6/bRrbQo+IY/8L736tuvv65XftoMCyWv\nEQUMG6EF2CG2wTa+rpBM7Oj0vNjpzsHQUpxcNjtpp5fFry+J2F6IMQwszs7G3Tyo9L49s7hes0Ke\nV5ZlGo/GkrqLyw1lhtB1g06zffJlTh/6/r+kF198Qe+6e9c+DNw4hBZgl8SBJbgIYqqnpTs81Kyk\n6+ul/L1NNddSV03K0aL6r/nV3+Kr4aK658TVfS3VM2Yn8SP1h1BnI/Nc0KNTLVufZZn29qYajUfK\nMqc8X/2BnnWV5XlprzsUK4eI3vPiC3r3u14gqODGI7QAO6IOH4oDSLNB1GKbWNq/HTkJA4tdli44\nefsgCoUxwrnmORc82VNp8ZudM9PzYMIAY4Oa3WQ6nWp/b0+T8Vjj0Vh5Pu98HzfRu5LXGGrHirLR\n6Lm/J2AbmPIM7Iq6IGLChw0khQ0nRbjgXHu+9unA0syKjmcntcd9YvFKcOs/bk8BqF1gxlaT5KTR\naKTDgwPdvXNb0+lEWZYpy7Jkm/G2Qsy66k48xLeJ7/vA+zsBznRMh4/f3OwGUGkBdsGv/ed/G63F\n4tuwYcJHI76fGCKSmTJt13EJKy3x2i7rhCfKxGlz8+ASjQ7F+4mrLU5OoyzT3Vu3dPf2bZ2cnmm5\nLJfyv7y6Wjc/amNPOhtoVYOtM1fU9i7sJ67/XFLHfv/73pMccmv/BKIxON8pjwE3ApUWYId0hoeS\n/SpR1SUxPNROlw4DULrSYlt4V6m6VZqKigueu87QUPIJbzdqyz+22jIajTSZTvTC3Tt64c4dTSbj\n5mezd7DeY80GSnw255xGo5HG45H29/Z0dHioo8MD3T4+1u1bt3R8dKT9/T1lWfif4bgCM51OdXx4\nuOod9z/knV79hZ+/9ucBdhWVFmCHtMNDicZaM5vGniKDHpZgQbqoz8WnKy3N3lYOV6RrKp2n7N/0\n7VtNVFJ6v4BEE25bbZH298qT+N07t3V5dSVJunf/vnwhLZaLTY7y1NUfu14peDweaTKeaDIZNz04\n0+lEe9O9MmA5p3yZ62o+09nZuU7OznVVfZbcLBLnnNMH3/9S27PiNy9kBW8MuCEILcCOaGYN1b83\nCC3BzKJoJlEzhBRUUrr9FkGBY4VmqRDfE07idelW7XBFySXoY4mqLXJSlo10fHykFxd3tVyWFxIs\nfKG37j+QnDcXF3w+sizTqAoV49FIe3tTHezv6/jwUIeHB9rfm2o6nWpvOtV4NNJ4PNYoG2lZlJck\nmM3nOjk50xv37kmSHp6carlYKMsy3bp1rB/60A+0YYUQgnc4QguwA2w/SzNVORla4gqLwhO997L/\n2EbcoEG3eaXMtYv6qy0u6r9oM0u5dktbB/Hrg8u1A4sPHssyp+lkrBfu3CkbkqttnJzeevuBnMu0\nWCza7/UZyDKnUTbSZDLWdDLVwcG+JOlgf19Hhwe6dXyko8ND7U2n2tubKnOZRqM23DSfuPCaLxe6\nfXysw8MDSdLrb35P5xcXmk4m+gsfeEnvqacyX7fKUh6BpIMbhZ4WAAAwCFRagB1hh4e84mqLgkpL\nqsqSGiKKqyxBg6upsIRDU+veaaKEEj204vJF8ScOjtmufGvuxzOofDn1eW861Qt37zQHHI/KvpEH\nDx/pajbT5dVMRVGoKIonrriUvceuaq7NNBlPdHCwr6ODAx0fHenW8ZEk6fDgQMdHh5pOJppOJxpl\no3Kqdpa1NQ9bthpJ48lYe9OpJpNJtY99XV5eaW9vr7wYYl2dCS6UGH23FFTwDkFoAbbsC//535Y3\noiX7w2nMpsnWbBOf8NuG23Y9l7gnJu6R7U7aucYJvpNf7MCR2a/6g0kYvDYJLqqCS9asFPvi3bua\nTiY6PjrU7eNjPXh0orPzc11cXmqxWGixzOWLopl1FS/Ul1LP6smyTKOqbyXLMu3v7+n48FC3bx3r\n+OhIt4+PNK3ex/7eXhlqqgDSTLSqVvRtpnSZNW2c9xqPx03w2d+bKs8LjcdjTSfjbiLpBBafvlBU\n8OcB3Axuzd9Ans2AMIDGF/7TLzXTmIu8UOGLqkLgqypBEQQXJXo1UhUJ31wR2UyVNlWH5vGiMJWZ\neoftTKPOyrsKe1+6TcLaLIi0mwafId7emxtNB4tXEDyKolCe57q8utLVbK6HJyc6PTvXyempLi6v\nNJvNNJvPtVzmyvPyp/4ObADMMicn1zTXTiZjjcdjTcbjqn9loqPDQ925fUtHBwc6PDzUZFw216qa\n7ZM1ASJ1wUKTOHqqI3Wocs6ZMLL+denDtBu/+tlfXPMiYKck/1dOpQXYFXYxuPKBpmJig0f1VKci\nEpzI16znIrNNXW2JA0uftt1Wib/XJK6VtGFw8eGNZFgJDmmqPFmWyTnp6OhQ0+lURwcHOjs+1+UL\nd3V2fqHZbKaLyyvN5/MqvCy1zPMgxNXf23Q61WRcDtnUQzfTyUR704nG43HZYLtXzgaqV+Rtvpu6\nmtIbKlILxEVbBGFl1et8UNkqh418vZN245WVGGBYCC3ADgiHaaJVbb0JGGa2TLdYEQ0D9S5AF1VO\n4jAjE4pM/4u3t5vtwhlPGweV4FDpqorUvR8LTtnOKZPT3nSifDTSdDrRbD7X3Tu3NZvNtFgsNZvP\ntVgsNJvNtcxzLZfLdjJ4UV1Belz3mJQVltF4rL3qkgHjaohoPB43q9uWb6QnVPi+q0X29KYEzydf\nWD0dB5H6OKmF5ggsuDkILcAuCFbCVfgThRDVwxrJSkV3aGdVaInXgwnfkw1QMj02auNE0CsTXW4g\nGWI6dzqPJasqG6qrQKPRSN57HezvqygKHeztNZWV5XKpoii0WC7lC98s5lYv3z8ej6opyqNqmKjt\nbXFNJcQeMfEufHVV7GRVxLzOyVRmEs/blwa7SHTh1sc038Tmq/oBw0BoAbbMR7/rukt3Cf82EHRD\nRthTkqqmxENMnSDT7N9FoUQmmNS3wyGV8Hd/f4psSElUiqIv4ok556qho/J34b0mk4mKotB+1Zgb\nV32cJFcN+TTVlCYDmBX2VlUw+kJIMKJT7SO5Hx8GG9mA48LbQcWmJxgBNwShBdi2nlVw21lA0ZBR\nFDjMjsLgsmKYSG1xp8wPpmLiXFxNsZUUc1kAM0yVnOHT048ShrPw15OdX11ZaTBtHWG2cMokFVXV\nxDsnF4SWRFpKDfv46PF4GKg5qAmAvnpvyWGkBO+SxZTw9XFfEekENx+hBdiiz/+nXwqrFBVfVznM\nEE7bN5KokvRVMJJDRd19hEM/9fOKhn5stceGkL7g0t9E240Hditn/v00hCf3eL/NN99MSXZtZaUO\nIHFlJcgJUcBwdeUjnkVkX2/2l0pr8XDQyi/DdbfvYIwINwOhBdgms2ZIb5VlwyZa29MSHsLu315z\nyPwTDEGFIxiKA0unKTcdUuxidkFwad5Y8qacvGnFuH6AcSaeOBd9ILOn5Gk8roQ0FZT48TVvKjFT\nOThoMB3Zdysr8Ta9x0sMI618Q8CwsYw/sAs6QSOsSvQN8xTmxxfh+i7NT70+S70eS7Jfpq9hN+qn\nMbeD6xt1trFDSX0Nxm33TudeM3Rl+nvMVg0XFzrKO3ZIqOn7iE7c3Ueab3/VH1T74uQaV9FMJxdt\n4+rHzNFdaj0X+4JVx1sTRsxrXv1HP796W2AAqLQAWxScruOwEJyq221kty2KxGvteTdskq0bbutn\nOo2+camlDhBxYInWi1k1RGTPtXEXRt+3Uo+meDP7pa7A1BONvX2TzjeFifrxusrSaUFpXl9+uO57\nSjWTJJ5zqQqICz9k0NuS2v/q7yHY2eNMXbaHp9iCG4DQAmxTUFYIH67ziq04BNtEQ0PxTKB2X23Q\nCX+rp5piT5f18IWC57vBx+5Lid/mc3VChMJjBmHFV9u6NrBU951sAKsrEt704tav8fI+DiL16I/r\nr5jYkk3fbKG6ahIM+9g/QBc92NPXstYm2/nuF9wMO60bzwKGgdACbJUZ9rAzc3z4rA9CRjzk0q2W\nhP0lCkNE85DphYmCh7wzbRbhfoOG3WYfcSNvN7wE/SS2+mKaVOtNXVVZqJ9zJrA0waV6j6qrMHWV\nJai6qA04UV6QDS7xm7J9JL3hItFPEuSUuBITNd4mqzCJfQeP2QpOvFnbzWM/BnCTEFqAHdBOXba9\nHbbxo1tpqbf39jpCwQyhcEl9NedlU2kJhnPC2UHOO3lnQ1IYUuzj4fTrsFG3+e28XOIsWk+zLsNJ\n2+dhA0tcaXGqQ1V9IHPfV4/a8OLCRdbaad19fyB25o7rPt5beUncD7aNZyP1pIpUY6533WGiTljq\nG9pKBBpggAgtwLZFfSje5AwTX6KZP+ndrAsuPjhOT/+JmV3UBISgohKFkcTjzXP2tlcVgsLo4qKT\nt22iXVVpKQNJVaGxgSUeEqqGjBSMBLVrunR6WuIv14aOekcutQJt8g93xXL7K4ZsUg+7nid6d5NK\nUMCwMXsIAAAMApUWYEv+3//wb9o7dVWlHR1q+1lseaTZPrUuS1vtqIeLuhUWH1QUOhdFtNUXlSWM\neiglXkOmPnRnrRhbYYnuN4WHxDTf9gKEzjzdPzwkKeppCYeI1Mweqm+7YFioHmJqOl/qr6JToOib\nPVT/a8WwS2qYp7tRWAZa1ZxrqyqdIk/8ZE9PDDBghBZgi2wHS6qfpe0NWf367hPlFaE71wCKmnPb\n++khIslXjaqJqdEm6Nh+F6XCSj0MZE7ITUSJMoEzN1y4ZTSDyJ6vXWKIyH7O6jM0Iai6Z1OKM0Na\n1+mPjR/wZhn/VaveNm/SDhmtkcpPTXhx4e2VLwaGidACbFMijYSFlXSPSPzauAnWm8ebfpJ6f2EL\nTRBewmnL7XFc1OyraP+25yVIUc6Zc2u9/kq31yJcDC4RXFw9KSeeQVTtu2m6dd3bwSyj9pO7qAoS\nBq2m4zZRXVnDLt+/6nXNF/OYa7AE+0msqmsrMSvaZ4AhIbQAWxIM75iVYoPKyMY76d5um2Ntw2y0\nYWpadGI7b5tx48sJdF7XPXc6Re8vUa1YHVxsdcXOIDIBpA4v0W1vGnHL9xxWeHwTYurzu08Hj/DT\nrNA3NBOnh3g4aF1Tr9lXZ9ip7zIABBbcLIQWYItWDg/1bN/3iOk0MU+1aahzjSL7SptjokXo7HHs\n5QOqB5oKRby1U1tFsKdsJc+hvtPL0gkuzsnV4aa6HXyGKrzYIGMrLc1liFz3Ne296nhB0rJhIxnH\n1jwWfWI73dnb9WN6kkWnEtPXJxOnQr9iW2CYCC3AtkQr1zYPX3s/4e12rRVTcTH/FEXfEcqTXLyA\nXbhFYspz+HKzZRU5bHDpnbLt2n9ndZ9utW5LEFjaKosLhp7qAkRPpaWqFjlzZO9dW1mpD+7iIBG+\nv85jnYyyLiFEK9SmhoW8FJSGHmfV3Cad9QxzAQNFaAG2yizqFg0PBduseqRnAktTeTH7jod2uq9P\n9KtEfSphtcaeXO399oReV2Jc38m3DiXOyWVOzmVtIIkCi62y2JV0ww8RVl2cWa+lWdelySdtQHG+\nDDU+fnPxF+/iBxLbxcNAqeGclTlizdhOvGBdvE2neuOS/xsBhobQAmyJHRCyt9a/ao0ohHgbQOJ+\nFBNc7HBLM+QTTGWOKgDNwaKDd4ZW1ByvDi51SJGkrAopWRVYsiq8SDIzjOLA4lL9vDa3tIHFVXWf\n5nY7dOVcango+rrjjxvPDkr16gQhJdEgG480qSf/1F98/GE7ASjuj0mg0IIbgNACbFMqq/RUTprt\nezdOvbB9LFi/pZ4NVBRm07a60QwT2bVXVi07LxNqzFL8VlYFlSxrQ4qqQNI8VwWWrD5WvF6LqbKk\nKjedopFL9LrUTzu1S+Mnd5AKXyaoNJ+z53vwPSEiGNMyx0hu2/d9R1WW1BUoSSm4gQgtwFYlpglv\noDm3xudc186CCU9ZZupzMPPHblK/l7oDxOx6k/NfMFwTSgUW57LqPUfDQq6+rSi4qAkv9dL/8WV4\nvL1Vt6dEvS5qB5ASgaVviCgqj6xqEzHve/33lbwT9qL0LVDXjnElvns7NHWdvhhgtxFagB2wMrMk\nhx+6m3XrLPUj8aq39T58dOYNT5C+qRj0NIz2vdfohO7qakrWHQaS1ASWtspiw0v7WYKAEoUWF1xX\nqMoM5tpN7fotrhPM2ssKpQJL31hOT2C5VoFjk41XhB+nKJCk9udW/m8GGBpCC7AFv/rv/lU5BJN6\ncuXJZfMzkDeBxbaohhddrBNKXaZp0kp7McC+k3P8nD1nusSmfX0rQWBxZrt2Z6vDS/pb8vG9+oKN\nphLVDhGZd1onoKaSYT+PCXapReH68kOygdetfy6+m+yxWVHlMr0ur/7TX0x+V8CQEFqALfA2sjRd\nrua36dJ9or8gR6vjVl253e2CE2EieaT6OuKHV7RV1M3AUhYMB6keOjIVljqwtENESgwFXWf9kfCN\nNIvSOddcj0j1MJVzcvUVspOfyxx306bXZEHFJW72/EmvKqTEgWpVpQW4AQgtwJbY6od6ssS1AosL\nM08bWMLqyub77Dtzbzh9Njhxt300qkKHHR5KBZa6UVeJkNIJLU11qP680Rtw7Rsug0kZVpxzzQq5\nbQnGBduv/FpS91d9Dz3bj0cj5VVTtC+KsJKz6TL/PZkFuEkILcA2JPpApTZk6LqBpXqBXevFDg+1\n2/Qko+TJLXrQnjxXnQxTfS1ZVoaTLCt/RuVvVQGkHRrKTHAJD9K9UGJ87aD2szpFwcOEGF91KrfB\npXpNHWbWffNx5WNFD22yCmK2v318rLwolOe5siq05HleBpjU0FPQdBuFGRd8Gd33CtwAhBZgK3pS\nS1MNiR+Pho+ucZhgeCh4zrd9LMk+iuix4CrC0edoNk0HmzxfajrZ12iUaZRlGmUjjUZZ+DZMYMlc\n1vS8tNWZ8MTs7EE6S6H4IKiougJ0+bHKY/iqybhdCya1Eu6KMkpnzZrou4mHldT2ybz03vdomecq\n8lyuKANbXWlxzskVuYq8KC+XYKst8XL+fai44IbKtv0GAAAANkGlBdiC8m/8Zpl9KSyLrHqhrbf0\nbr+mJ0OKKizxeIatoJjbitYEiYdIevs9nC6vZrp967gZGmqGh5xrVsutKyz1QnNy7SJ3DRfUWJoP\n07wF781QUvuFVY82a7aUi9R5+aapOL4Io3o+WGJcyH6nyXVTbM9N2cMiSYVzcnmhwhVyRS5VjclZ\n4ZS7Ij1UlKqCXbvRBhgmQguwJcGAj0888awaEVznRvd+MMTjgvARvLV4SvDK5ealy8sr3bl9SyPT\n05JlWbPyrl0d12VZFTJcc0mBZqeJ1pr6duacimh4yJkA06yOaxpyr/GlVd9H3E9S3+hrmm0Dz4e+\n//u1zHPJORV5IecKFUU5TCSpCjBOzhXl91AFlya8xSsT158zyCx2fRZzVW5g4AgtwNYlE8tjvPZx\njluHkE0vwJe43zuLp3ucxXLZVFxGWVltKMNLW3WylZa6CuObqch1p2232pJJKqrnXHBsBbOJXF1p\nqass3gab9u2v/mZ7qhid1WvD7/IjH/6wirp3pa60FE5FUVZcJKlwuVzu5FzeNCN775X7Daea28e8\n13yx1MnZ2cpPAwwFoQXYhk4fbvJyfe3mTzodOjkjyVRJUg2e1xlhiPcTvDbcyfnFhabTiW4dHUtS\n05DbvL9qqMhl5aJz3lxewCeCi+LztwuHitSs8VIHGBcEl67Eh+7vm16xoYuqVFI2ysJwVGRlJSUa\n2il8eNmB7ltc84fjvfKi0GKx0Hfe+J7+73/5r9e9cWAQCC3AVtQr1cbTchPb9ShPjeZM+jgtDEFf\nS/IAq/ebmvZrr4Lc0+zy4OEjTScTSdLx0VFbUbDTll079bmstpQn8lRw6QstrnofbeirKiy+Xec/\njj5hoSSqHMXfRdxfklqYz9xcLpbBWjXt/wI6cXKNxDWHvC+HnSSdnp/r4aNTXc5m+s7rb67dGzAU\nhBZgC4IBoefQbtAWdFaUbOoA4+telURiSfRyvPrZcnn4V3/hH0bXKeobQyrde+u+JGk0Gun46Kj7\ntrxvFpjzVVhRFTiC4KI2qKRDi81MvmzIdesqGSsWdeusV5PaT/e7e+l979XDRyfKRiNNJ2NlWabl\ncqnlMg/+FxF8rN73006FzvNci+VS8+VCr795r/xu77+ty6uZvPdaLJf9nxMYGEILsHVPPPZzzUNE\ni63EvSy2qTZ+H9FJvA4s5e1/Vv7+hZ9PvwHbvCs1zaHffeNNfeQvf6gMG00I8NGEoTasuDXBRc41\n/S1lU259jaFqqEj1jKFu/03vwrOpdWjCJ8x9JR/77pv3VBSFxqOR9vam2ptMNZvPtVwu5eWbytN4\nPNY4yyQvzZdLXV1d6fziUt577U0nmk6nKvJCJ2dnevvhI52eX2ixWGi+WOjk7Lz8bqu+GTVDZMDN\nQGgBtqCelvusTyg++Pe6Y0UnWm86Utf1UBhBkGkCzOruVtcs2V8HF3vdId/0oaSCi8yJuQ4t9raT\nlDmpMONdzm7f9x3E7Smd5333c7m+D+n0ze+83lyqYDqZaG861dVspvl8rrwoNBmV/zne35/q9vGx\nnKQ33npL9+4/0MXFha5mc+3v7enFF+7q0empHj46UREHt4Qvf/nLK58HhoTQAmyJ7xkSMBsk5kM/\n1oGa332n6nYD1w55OFuJsMMsTxBgel72B3/0J/qRH/pwtUCvHXpREFhcz7Gb0RNTCQmGiur92j6i\naDfxYJYPKjFrZlS5vifa+289eNBO53ZO49FYi+VCi6rPxfuyOjIajbQ3mWiZ53p4cqLFfNFMeZ7N\nZ3p0epr+EoF3AEILsAVtpaUOLL4ZEllfEenbaXTTdx5eI56u29OcG4WRTa17zb/5v/65OYaZtux8\n03Pq6+Gd+p4JNsEQVOp9984A6gkj65bM70xvDp4MXvPbX/n9RFVoprwoVFQ/9vlT71VU1ySKW3Tr\nhfiaI9X72+SiisDAEVqALWkuaBisJdI+5zcJHMmTsO/cXjOheuNm0mfJZS65mGzdMOudD4JHHWLa\n9/qcxTOm1DN7yF5luxrO6fupt7Ehpj2ET19IckVY+dKXvvRknxHYMVx7CNiCIKCYVeqbKb+mVBI8\n19nRimPY5+sihDdBqXku1UiqvkT0zIJMc0J21RL79T/NhQKbSxv2Ttp56tUG3w2Anbv1bKvkTCM1\nb/Rx+5euU0npNCcDNwyVFmArqqEgEyLqwOLN6rDdMZ/6dnd9j6CmEieWRuJKzRv0YzQljmdYfMlc\nVn32evikOtnX9RRfzwKq81Q5VFRu3J1xdG1RD27nwb7tV30fzfDV6kpLvI2ikLNpELHBhioLbiIq\nLcAWxOegOru0i6tVw0NRlSUeMgpzjQ8frIs23hzEqf3xZoP4nNgcOGqMeYajReUquG2FpX6fQcUl\nVW2JZ/Y8abXFfmlNE259JzVot1mgWBU84oASh5zUc8A7EZUWYCt8MyzkbeiIgot9vLxp6ivN7fZ5\nmzFsJSY5tFRPz01VT5wJAP4pBIENuGqmT5H1FYfM+r+m2iKpeYFrF7p9IkEOtGu6bPpdBN/p+p4W\n9QSXOKD0DRHFzblUWXBTUWkBtiAIKvWgSCKjSN1iR3J/zet9WK3p2WfLtSfj5AY+OPk+S3/j7/z9\n6kKJWVlhaVtZqttVBcZUW5pP0bSUhNOlry+Kd00mSlRxfLyReTxoE3K9IUQ91ZTU7/g19jYzh/BO\nQWgBAACDwPAQsBXViq5RX0r79/y2ctK+JLzt48dMT0uwz7g/JeYS1YHgyegQz7SvpRwbypRV1xqq\n1rKrD+9UrdNSFYGCdVrqB8tp0i49KNavHqoL555HfTP2zdbb2DfSXXzvN373K71DP6t6V7RhRYVh\nIbyTEFqALSjPc3VTi4JhnfTQkO1QMc93TmztM2FPy9OwZgG3p3EEVzXgFmoTg2s/Q9kX2waUeJ0W\nVwWWNq70TdvuSm7l4i2iGVRxj0tiLra9DpDWNN2mfje7NsdJhRcCC94JCC3AVvimOtD0o3gTMfom\nqCQacdWc/Jo9J3pa1lQd6tlEfVc1rk7+RbXw2bNSN+P6TCqKrPosLqy4uO731GYIE1I27so11a1g\nWb+of8UlpnxvUHXq+776pjSnKjEASvS0AFvgbagIqik+DC/2b97xPiR1h4cS1Zres7YPf7uehtyq\n+uElzeZzzebzx/rMm2gabqsLC9ZTnZvf1XtxzVRoU9ywBQ/XPrc2V9Rfm5f5/D2v2mhn4c3Pf/7z\nzVL9RbRsv1391j6eWhF3FaoseKcgtABb8L/+738vvOaQ6Uepb6R6WnwUVjotGJ3XrxodSayOZtdw\nscf1XvPFQienZ3p0eva4H3stZy4o2P60s4hkZxE5pzi1uNTQyYqZNUFOMY/Ftzbv40lvmOe58jwP\nQkt934aUVGB5nEXmgJuK4SFgS8qr+jqZ7CLFJ9Cop6V5XN2A0x0e6q/SBDtyiTuuXXp+uSxPuKfn\n53r74bc41i8AAA+jSURBVCMtl/kTfe5N1MEjy6R6dCWcRVyvkmv7W+pqkR0eclE1KmYjS91XZPth\nzNNxHomHiuLHzcJ0r732mn7mZ36mu+ma9Vqkbi+LbcilwoJ3GiotwJYslsvyBGXXjqv+3TnP2msH\nJRaVCyo20fCSpKhy0ncidsHquN57zecLnZyd6e1Hj/TW2w90/8FDPTg5eWrfwcY667bYaks7ZNRs\nHg0P2dVdGmZYyNvhoebJ9tgrZw/1PR6VcL74xS9qsVgkh4pspWWVOrB47wkseEei0gJsyTe/84Ze\neu+L2t/ba4ZggiX1VywuZvtg0tf088E27ZNudcWgnUOs0/NzPTo508nZmRaLhc7OL3RxefVMpzz3\n8p0MEE2Hdk1Qq0/q7Xau05TbRrzud+vrnccPJj937xPJmUR10Hj55ZeD92nf76qF4pxzhBW8oxFa\ngC35B//H/6l/8o//kX70wz+g0Whk5q14079iaibBDKCwytIZHkrml56xDLucf+Xs4lKvv3lPj05O\ndX55Je+9FsuF8mW+fjLO05A6iE/8BJsnmnj6ZjwnqiobzdbxZp+JULIpG160JqiIYSCgQWgBtuj3\n/vBrypz0kQ//YFNl8fYk3FyLKFxMrg039Z6iE3bU09IylYFqn8vlQsuqKbReRv8b3/6Ovnf/gRaL\nhfI8rxp+n18T6KZHSoW47oSqvtTSDg8ln05Nbe6bGm6H21YUX2KEEeB6CC3AFp2dX+r3vvbHeve7\nXpD3XlnmlGUjTcYjZVmmUZap8F6+KJSbWSXNrJOqxFL+Ku/neTkzZbFcVrNWCnlfKMsyOTnlxbI6\n9oUenpzq4vJS88VCeV5uM51O9Ma9+5rN51ucrVJXP2TKIj6OKb33vZ1pVe/IhzfTg0MV15c8fNvc\n21lUrnv71c/+4jU+M4B1CC3AVnmdnJ7pK3/wNR3s7ylzTuPxWPt7ezo6PNDx4YEyl2mZ51oul81C\nZeXv8q/1WVb20y/zXBeXl7q4vNTl5ZUur2ZaVK9xzmlvOtH+3p7evHdfkvTg5ERXVzMt87w5CWfO\nKcsyzReLbX0d7c2eVp5wAbjwdcE08aAqZft/ug3M6vS49PW0JC6cGLwBZ4akthX4gJuL0AJsUV3J\n+Ma3v6v96VRyUuacRqOxjo8OdPv4WPt7U81mcy2WSy2XZZWkrL54ucxVFRRpuVzq5OxM5xdl5WQ+\nb2eq2P1eXl0FxzZvpqzcbPGKwZ/53/6Ofvlf/4vNXxCOhpW34zs+8QK1eSVYz6YvZ6z8SkxVpp7m\n3CwsA+BpIrQAW/Qrv/Ir+vSnP62iKHRRhYna6dmZ7t1/oL3pRPPFQkVeaFlUa6R4r6Lwzd/qnaS8\nKMrtoim04QyVdjVbZ9ZiaRpBE4ElvlDfs+7D6MsNneJIZ4V+M1TU27Rc55hOrabniD3BY2XfCmEF\neFYILcCW2bU3ZCogRTXkczWbNcNC8VWBN/2pV5ftu1Jw33varp7xoeSzq1cQLoeG4lWCu7GlU5QJ\nVrTz7RDRqms12e0BPFUsLgds2a/+6q8mG17j69E87oX01l0d2FZcVm0Xb/N8pI9n40hYYYk3TM2e\n8tHNKtb4aCpR5ztwZnqQ2qnizWPhsc4uLq/5WQGsQ2gBAACDQGgBdsC668+kHrtO9WWT5/qqK8ne\nl2cq8dlXbRoVSHxUh4mbcX28TbxWS3qJYTNU5LrPxZOZvNdX//jrG3xWANdBaAF2wOc+97nmdhxc\n4qv8rgsgqRDTWdr+MWyrx8V3bvTcD4Z9wvVbvF01OBoW6uzBmSEg29TSyTIunAJdvc57r9ffvKe3\n7r/92J8ZQBqNuMCOqNdTSVlXZdnEukrKJp5HT8v55aXGo7Em41H6PZjfvQWS9APJnpb2sgd2zy56\nnfoXkzPfS57nWi5z/eHX/0y/w2q3wFNHpQXYEZ///OdXDhNdp8Kybphp0/AR7+fLX/7yNT/V9X35\nK7+vL/7X/6Y//ea3NZsvUuM3qXda/Tt6rrNOS3d4KNHPG76+9zLP5YuLotDV1UxXVzM9OjnV9+6/\n3ayFA+DpotIC7JBUtSUVXDYNHqlpzteprNTbPs+hoT/6sz9XkRf61nff0Adfep9+4kd/WFk1/DIe\nZXIuMxHCB7/kw/wRT3cOR4X6vj8zK6iz8G24jH+eF83lECTpwaMTPapuA3j6CC3ADvm1X/s1/ezP\n/mzn8b6hoL51WazHCRy2ObcOPc/r4n6z2UyStDhd6o8uLjWfz7W/v6/xaKTDg33dPj7S4eGB9qdT\njcflf8K8+bddvj/6VGFYqXpfUlfFboeCwotLSpLPc8k5+aLQw5NT3Xv7gd5+8FCSdH5xofliucVr\nNgE3G6EF2DF91ZZUQ+7jrt2yzuNWZp4Gb9LDYrnUn33rOxqPxxqPRxqPxrp1dKDbt27pxbt39MLd\n25Kko8ODahZRNexTDyklmnWTw0PNgVNXcC63nc8XKnyhxaK8lMJiudR33nhT9x881FUVtIri+Q2j\nAe9EhBZgx/z6r/+6PvWpTzX3V80i6gstqenJfVOWd2P1236L5VKL5VJeXpnLdHp2qrcePNK9+2/r\nPe96QZL03ne/S9PptLng4yhz5TCSmZ3cnTSUmDkUTxry5fFn84XOzs91cTXTcrlUXhS6vLrS/bcf\nbu/iksA7EKEF2EF9fSz2sU2GhFatcmuX99ea8PK8hoYk6Zd/+Zf1mc98pnlPDS8VvlCee80XS11e\nXens/EKS9PDkRAfVENJ0OtF0OtHeZKLpZFJWaUajcqir6m8pzGrDy7y8npMvCuV1latasX++WOrh\nyakenpzo9Oy8vKSC9yryQlezmfLq8goAng9CC7CDXnvtNX3yk5/snT206bBQKryknrPhJbat/oxV\nwc1731zVWpKu5jNNRuV/zkajTJPJWHvTqY4ODnR0eKDD/X3t75U9MHmeazafB79VTVf2XhqPR/Le\nK8sy3bv/QG89eKCzswvNFvNy+KcaLiq859KIwHNGaAF21G/8xm/oE5/4RHO/L7QoUSXx5iKMqwKJ\nNuhZ2UZ/xrrAEm9zdTXTlWbVcFD5eUdZpvF4pL3JRIcH+zo+OtLt46Ny2/lMs9lci+UyCC1ZVq4C\nMR6P5b3Xm2/d18XFpfLq+k+yIc+8v+d5FWzgnYzQAuyw3/zN35QkvfLKKytXxo2nNvdNVb5u/8q2\nT8Drqjzxd1I3wnrvtZCkmXThnE7Pz/Xw5FSH+/uaLxa6nJW9KUVeaLEsG2uzavgoyzJlLtMyX2o2\nm6tYMxtrl/uBgJuG0AIMwG/91m/p4x//eHM/NfU5VWlZtc062w4s1qoqS2pbu13uy1lIV1cznV9c\nar5YyFf9LLYnxU7zjo+x7ruLXwvg2SC0AAPxO7/zO83tl19+OVlZqaVOnqtmDtl97UpY6QsmqxqT\n4+3stoX3Ws5m1eOFisI3U6RrLtp/anG+lF377oCbimX8gQH60pe+tPIiiJs2z8ahZ1dOupvMnlIi\nrKxbgK+93z7vlF6ofxurAQNYza35jxvLOgI77uWXX37ifexKWLF+7ud+TuoJKKt+p2ZWpR4vrjld\neZOKyy5+j8BAJf/PRqUFAAAMAj0twMDVf7v/2Mc+tnahuCFVAvrWqOl7bNVQ2bohpE3ex6rG5iF9\nr8CQMTwEYGd9+tOfbm73DQXZ5zcZFtpkUb5NEFqAZyo5PESlBcDO6qumbFJl6QsofYHlulPCCSzA\n80doAbCzVg0RrZri3LevVc9vElhY/RbYLhpxAeysz33uc2uHeNZNcY49ybAQ05+B7aLSAmCn9U1N\nXhVW1k2Bfly2KZcqC/D8UWkBsNO+8IUvdNZXKaoLGNrHUuuwpB5/EusuPgng2aLSAmDn5Xm+0bV/\nVg0fPWlgsaiyANtBpQXAznvttdd6V7VNVVOeRnB5FmEHwJNhnRYAg/HJT35ybYNtX1hZN6zTtw0z\nhoCtSP4fltACYFA+8YlPJB9PNeA+DhtSCCzA1hBaANwMH//4x5Vl2UZrtVx30bjU9oQV4LljRVwA\nN4P3XnmeNwEly7Lm8diTzvYhsAC7g0oLgMF6+eWXm9v2v2VPY1oyYQXYKoaHANxccYB5nGX5RVgB\ndgWhBcDNZ8NLjJACDEYytLBOCwAAGAQqLQBupLriQiUFGCSGhwAAwCAwPAQAAIaL0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB\n0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB\n0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB\n0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB\n0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB\n0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB\n0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB\n0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIA\nAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAaB0AIAAAZhvOZ595zeBwAAwEpUWgAAwCAQWgAAwCAQ\nWgAAwCAQWgAAwCAQWgAAwCAQWgAAwCD8Ty1NHDnivun2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "139721054514064"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\");\n",
    "plt.axis(\"off\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "17c4xmtyfBMH"
   },
   "source": [
    "## 6. Batched Rendering\n",
    "\n",
    "One of the core design choices of the PyTorch3D API is to support **batched inputs for all components**. \n",
    "The renderer and associated components can take batched inputs and **render a batch of output images in one forward pass**. We will now use this feature to render the mesh from many different viewpoints.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "CDQKebNNfBMI"
   },
   "outputs": [],
   "source": [
    "# Set batch size - this is the number of different viewpoints from which we want to render the mesh.\n",
    "batch_size = 20\n",
    "\n",
    "# Create a batch of meshes by repeating the cow mesh and associated textures. \n",
    "# Meshes has a useful `extend` method which allows us do this very easily. \n",
    "# This also extends the textures. \n",
    "meshes = mesh.extend(batch_size)\n",
    "\n",
    "# Get a batch of viewing angles. \n",
    "elev = torch.linspace(0, 180, batch_size)\n",
    "azim = torch.linspace(-180, 180, batch_size)\n",
    "\n",
    "# All the cameras helper methods support mixed type inputs and broadcasting. So we can \n",
    "# view the camera from the same distance and specify dist=2.7 as a float,\n",
    "# and then specify elevation and azimuth angles for each viewpoint as tensors. \n",
    "R, T = look_at_view_transform(dist=2.7, elev=elev, azim=azim)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Move the light back in front of the cow which is facing the -z direction.\n",
    "lights.location = torch.tensor([[0.0, 0.0, -3.0]], device=device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "gyYJCwEDfBML"
   },
   "outputs": [],
   "source": [
    "# We can pass arbirary keyword arguments to the rasterizer/shader via the renderer\n",
    "# so the renderer does not need to be reinitialized if any of the settings change.\n",
    "images = renderer(meshes, cameras=cameras, lights=lights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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34uc//zlYfRhKGjEaDMedpFPleMEz0WzpxAdm/JcY9zKhIxK0f0gBpVIRBc+z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\nbkBbx21k+pxAFOALC3XHwYOoKGlepkD0uPqU6vkXXIQv/vMXcPrJx6G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v3Nt+LjMQuBxgJv6j5wnCBzTgiB3t5eTJo4AYWCGSxl0NtBs+BbTgenvndWPzgZGBzCDYvuxDU3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l+EEA13Xh+X5UpicQAr7v4Z5pV8XV5BCLtOEkJfxMSFUPuDhiDHY7OBtXpmkiJAWei2f/OiM/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\nM6ZOydqDSpwIcmdTTGyOnTyNt9/fhoeW3U3iAdGHyJNrr4YaEOYgTIoqKyq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      "text/plain": [
       "<Figure size 1080x648 with 20 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "139721051438480"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image_grid(images.cpu().numpy(), rows=4, cols=5, rgb=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "t3qphI1ElUb5"
   },
   "source": [
    "## 7. Conclusion\n",
    "In this tutorial we learnt how to **load** a textured mesh from an obj file, initialize a PyTorch3D datastructure called **Meshes**, set up an **Renderer** consisting of a **Rasterizer** and a **Shader**, and modify several components of the rendering pipeline. "
   ]
  }
 ],
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  "colab": {
   "name": "render_textured_meshes.ipynb",
   "provenance": []
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  "kernelspec": {
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   "language": "python",
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